diff --git a/datafusion/functions-aggregate/src/kurtosis.rs b/datafusion/functions-aggregate/src/kurtosis.rs
index 9a9f142b38ad..f18f9c3921ad 100644
--- a/datafusion/functions-aggregate/src/kurtosis.rs
+++ b/datafusion/functions-aggregate/src/kurtosis.rs
@@ -155,7 +155,7 @@ impl Accumulator for KurtosisAccumulator {
     }
 
     fn evaluate(&mut self) -> datafusion_common::Result<ScalarValue> {
-        if self.count < 3 {
+        if self.count <= 3 {
             return Ok(ScalarValue::Float64(None));
         }
 
diff --git a/datafusion/sqllogictest/test_files/aggregate.slt b/datafusion/sqllogictest/test_files/aggregate.slt
index e82f685ef7e1..7b095f369e95 100644
--- a/datafusion/sqllogictest/test_files/aggregate.slt
+++ b/datafusion/sqllogictest/test_files/aggregate.slt
@@ -5934,7 +5934,7 @@ SELECT kurtosis(col) FROM VALUES (1), (10), (100), (10), (1) as tab(col);
 query R
 SELECT kurtosis(col) FROM VALUES (1), (2), (3), (2), (1) as tab(col);
 ----
--0.615384615385
+-0.612244897959
 
 query R
 SELECT kurtosis(col) FROM VALUES (1.0), (10.0), (100.0), (10.0), (1.0) as tab(col);
@@ -5951,6 +5951,16 @@ SELECT kurtosis(col) FROM VALUES (1.0) as tab(col);
 ----
 NULL
 
+query R
+SELECT kurtosis(col) FROM VALUES (1.0), (2.0) as tab(col);
+----
+NULL
+
+query R
+SELECT kurtosis(col) FROM VALUES (1.0), (2.0), (3.0) as tab(col);
+----
+NULL
+
 query R
 SELECT kurtosis(1);
 ----