diff --git a/internal/client/connutils.go b/internal/client/connutils.go
index ac70c762..c3f901e6 100644
--- a/internal/client/connutils.go
+++ b/internal/client/connutils.go
@@ -66,6 +66,7 @@ type connConfig struct {
 	waitUntilAvailable time.Duration
 	tlsCAData          []byte
 	tlsSecurity        string
+	tlsServerName      string
 	serverSettings     *snc.ServerSettings
 	secretKey          string
 }
@@ -88,6 +89,7 @@ func (c *connConfig) tlsConfig() (*tls.Config, error) {
 	tlsConfig := &tls.Config{
 		RootCAs:    roots,
 		NextProtos: []string{"edgedb-binary"},
+		ServerName: c.tlsServerName,
 	}
 
 	switch c.tlsSecurity {
@@ -128,11 +130,11 @@ type configResolver struct {
 	host               cfgVal // string
 	port               cfgVal // int
 	database           cfgVal // string
-	branch             cfgVal // string
 	user               cfgVal // string
 	password           cfgVal // OptionalStr
 	tlsCAData          cfgVal // []byte
 	tlsSecurity        cfgVal // string
+	tlsServerName      cfgVal // string
 	waitUntilAvailable cfgVal // time.Duration
 	serverSettings     *snc.ServerSettings
 	secretKey          cfgVal // string
@@ -217,17 +219,6 @@ func (r *configResolver) setDatabase(val, source string) error {
 	return nil
 }
 
-func (r *configResolver) setBranch(val, source string) error {
-	if r.branch.val != nil {
-		return nil
-	}
-	if val == "" {
-		return errors.New(`invalid branch name: ""`)
-	}
-	r.branch = cfgVal{val: val, source: source}
-	return nil
-}
-
 func (r *configResolver) setUser(val, source string) error {
 	if r.user.val != nil {
 		return nil
@@ -279,6 +270,15 @@ func (r *configResolver) setTLSSecurity(val string, source string) error {
 	return nil
 }
 
+func (r *configResolver) setTLSServerName(val string, source string) error {
+	if r.tlsServerName.val != nil {
+		return nil
+	}
+
+	r.tlsServerName = cfgVal{val: val, source: source}
+	return nil
+}
+
 func (r *configResolver) setWaitUntilAvailable(
 	val time.Duration,
 	source string,
@@ -354,7 +354,7 @@ func (r *configResolver) resolveOptions(
 	}
 
 	if opts.Branch != "" {
-		if e := r.setBranch(opts.Branch, "Branch options"); e != nil {
+		if e := r.setDatabase(opts.Branch, "Branch options"); e != nil {
 			return e
 		}
 	}
@@ -424,6 +424,14 @@ func (r *configResolver) resolveOptions(
 			"TLSOptions.SecurityMode option")
 	}
 
+	if opts.TLSOptions.ServerName != "" {
+		secSources = append(secSources, "TLSOptions.ServerName")
+		err = r.setTLSServerName(
+			opts.TLSOptions.ServerName,
+			"TLSOptions.ServerName options",
+		)
+	}
+
 	if len(secSources) > 1 {
 		return fmt.Errorf(
 			"mutually exclusive options set in Options: %v",
@@ -502,50 +510,24 @@ func (r *configResolver) resolveDSN(
 					"cannot be present at the same time")
 		}
 
-		if r.database.val != nil {
-			return fmt.Errorf(
-				"`branch` in DSN and %s are mutually exclusive options",
-				r.database.source,
-			)
-		}
-
-		val, err = popDSNValue(query, db, "branch", r.branch.val == nil)
+		val, err = popDSNValue(query, db, "branch", r.database.val == nil)
 		if err != nil {
 			return err
 		} else if val.val != nil {
 			br := strings.TrimPrefix(val.val.(string), "/")
-			if e := r.setBranch(br, source+val.source); e != nil {
+			if e := r.setDatabase(br, source+val.source); e != nil {
 				return e
 			}
 		}
 	} else {
-		if r.branch.val != nil {
-			if queryContains("database", query) {
-				return fmt.Errorf(
-					"`database` in DSN and %s are mutually exclusive options",
-					r.branch.source,
-				)
-			}
-
-			val, err = popDSNValue(query, db, "branch", r.branch.val == nil)
-			if err != nil {
-				return err
-			} else if val.val != nil {
-				br := strings.TrimPrefix(val.val.(string), "/")
-				if e := r.setBranch(br, source+val.source); e != nil {
-					return e
-				}
-			}
-		} else {
-			val, err = popDSNValue(
-				query, db, "database", r.database.val == nil)
-			if err != nil {
-				return err
-			} else if val.val != nil {
-				db := strings.TrimPrefix(val.val.(string), "/")
-				if e := r.setDatabase(db, source+val.source); e != nil {
-					return e
-				}
+		val, err = popDSNValue(
+			query, db, "database", r.database.val == nil)
+		if err != nil {
+			return err
+		} else if val.val != nil {
+			db := strings.TrimPrefix(val.val.(string), "/")
+			if e := r.setDatabase(db, source+val.source); e != nil {
+				return e
 			}
 		}
 	}
@@ -614,6 +596,22 @@ func (r *configResolver) resolveDSN(
 		}
 	}
 
+	val, err = popDSNValue(
+		query,
+		"",
+		"tls_server_name",
+		r.tlsServerName.val == nil,
+	)
+	if err != nil {
+		return err
+	}
+	if val.val != nil {
+		err = r.setTLSServerName(val.val.(string), source+val.source)
+		if err != nil {
+			return err
+		}
+	}
+
 	val, err = popDSNValue(
 		query,
 		"",
@@ -707,7 +705,7 @@ func (r *configResolver) applyCredentials(
 	}
 
 	if br, ok := creds.branch.Get(); ok && br != "" {
-		if e := r.setBranch(br, source); e != nil {
+		if e := r.setDatabase(br, source); e != nil {
 			return e
 		}
 	}
@@ -734,15 +732,21 @@ func (r *configResolver) applyCredentials(
 }
 
 func (r *configResolver) resolveEnvVars(paths *cfgPaths) (bool, error) {
-	if db, ok := os.LookupEnv("EDGEDB_DATABASE"); ok {
+	db, dbOk := os.LookupEnv("EDGEDB_DATABASE")
+	if dbOk {
 		err := r.setDatabase(db, "EDGEDB_DATABASE environment variable")
 		if err != nil {
 			return false, err
 		}
 	}
 
-	if db, ok := os.LookupEnv("EDGEDB_BRANCH"); ok {
-		err := r.setBranch(db, "EDGEDB_BRANCH environment variable")
+	if branch, ok := os.LookupEnv("EDGEDB_BRANCH"); ok {
+		if dbOk {
+			return false, errors.New(
+				"mutually exclusive options EDGEDB_DATABASE and " +
+					"EDGEDB_BRANCH environment variables are set")
+		}
+		err := r.setDatabase(branch, "EDGEDB_BRANCH environment variable")
 		if err != nil {
 			return false, err
 		}
@@ -784,6 +788,16 @@ func (r *configResolver) resolveEnvVars(paths *cfgPaths) (bool, error) {
 		}
 	}
 
+	if val, ok := os.LookupEnv("EDGEDB_TLS_SERVER_NAME"); ok {
+		e := r.setTLSServerName(
+			val,
+			"EDGEDB_TLS_SERVER_NAME environment variable",
+		)
+		if e != nil {
+			return false, e
+		}
+	}
+
 	if len(tlsCaSources) > 1 {
 		return false, fmt.Errorf(
 			"mutually exclusive environment variables set: %v",
@@ -946,18 +960,8 @@ func (r *configResolver) config(opts *Options) (*connConfig, error) {
 	database := "edgedb"
 	branch := "__default__"
 	if r.database.val != nil {
-		if r.branch.val != nil {
-			return nil, fmt.Errorf(
-				"%s and %s are mutually exclusive options",
-				r.database.source,
-				r.branch.source,
-			)
-		}
 		database = r.database.val.(string)
 		branch = database
-	} else if r.branch.val != nil {
-		branch = r.branch.val.(string)
-		database = branch
 	}
 
 	user := "edgedb"
@@ -980,6 +984,11 @@ func (r *configResolver) config(opts *Options) (*connConfig, error) {
 		tlsSecurity = r.tlsSecurity.val.(string)
 	}
 
+	tlsServerName := ""
+	if r.tlsServerName.val != nil {
+		tlsServerName = r.tlsServerName.val.(string)
+	}
+
 	secretKey := ""
 	if r.secretKey.val != nil {
 		secretKey = r.secretKey.val.(string)
@@ -1033,6 +1042,7 @@ func (r *configResolver) config(opts *Options) (*connConfig, error) {
 		serverSettings:     r.serverSettings,
 		tlsCAData:          certData,
 		tlsSecurity:        tlsSecurity,
+		tlsServerName:      tlsServerName,
 		secretKey:          secretKey,
 	}, nil
 }
@@ -1268,6 +1278,11 @@ var dsnKeyLookup = map[string][]string{
 	"password":     {"password", "password_env", "password_file"},
 	"tls_ca_file":  {"tls_ca_file", "tls_ca_file_env"},
 	"tls_security": {"tls_security", "tls_security_env", "tls_security_file"},
+	"tls_server_name": {
+		"tls_server_name",
+		"tls_server_name_env",
+		"tls_server_name_file",
+	},
 	"tls_verify_hostname": {
 		"tls_verify_hostname",
 		"tls_verify_hostname_env",
diff --git a/internal/client/connutils_test.go b/internal/client/connutils_test.go
index 4cf20f79..89cffaf3 100644
--- a/internal/client/connutils_test.go
+++ b/internal/client/connutils_test.go
@@ -626,6 +626,8 @@ func TestConnectionParameterResolution(t *testing.T) {
 				options.TLSOptions.CA = getBytes(t, opts, "tlsCA")
 				options.TLSOptions.SecurityMode = TLSSecurityMode(
 					getStr(t, opts, "tlsSecurity"))
+				options.TLSOptions.ServerName = getStr(
+					t, opts, "tlsServerName")
 				if opts["serverSettings"] != nil {
 					ss := opts["serverSettings"].(map[string]interface{})
 					options.ServerSettings = make(map[string][]byte, len(ss))
@@ -673,6 +675,10 @@ func TestConnectionParameterResolution(t *testing.T) {
 					expectedResult.secretKey = key.(string)
 				}
 
+				if key := res["tlsServerName"]; key != nil {
+					expectedResult.tlsServerName = key.(string)
+				}
+
 				ss := res["serverSettings"].(map[string]interface{})
 				for k, v := range ss {
 					expectedResult.serverSettings.Set(k, []byte(v.(string)))
diff --git a/internal/client/credentials.go b/internal/client/credentials.go
index b3b72f50..e83a42b1 100644
--- a/internal/client/credentials.go
+++ b/internal/client/credentials.go
@@ -106,9 +106,11 @@ func validateCredentials(data map[string]interface{}) (*credentials, error) {
 		result.host.Set(h)
 	}
 
-	if inMap("database", data) && inMap("branch", data) {
+	if inMap("database", data) &&
+		inMap("branch", data) &&
+		data["database"] != data["branch"] {
 		return nil, errors.New(
-			"`database` and `branch` are mutually exclusive")
+			"`database` and `branch` are both set but do not match")
 	}
 
 	if database, ok := data["database"]; ok {
diff --git a/internal/client/options.go b/internal/client/options.go
index 4c82d86b..9b35bb46 100644
--- a/internal/client/options.go
+++ b/internal/client/options.go
@@ -127,6 +127,8 @@ type TLSOptions struct {
 	CAFile string
 	// Determines how strict we are with TLS checks
 	SecurityMode TLSSecurityMode
+	// Used to verify the hostname on the returned certificates
+	ServerName string
 }
 
 // TLSSecurityMode specifies how strict TLS validation is.
diff --git a/shared-client-testcases b/shared-client-testcases
index 4f45667e..94099c29 160000
--- a/shared-client-testcases
+++ b/shared-client-testcases
@@ -1 +1 @@
-Subproject commit 4f45667e5fe25bed3b1fe17ee3d93cdf52c1fa77
+Subproject commit 94099c29e0811b0fb1f662b5089fbeaaaa3d4e9f