diff --git a/Cargo.lock b/Cargo.lock
index b1bbde626b57..bc0662546b51 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -364,7 +364,7 @@ dependencies = [
  "libm",
  "num-complex",
  "num-traits",
- "pulp",
+ "pulp 0.18.22",
  "reborrow",
 ]
 
@@ -448,7 +448,7 @@ dependencies = [
  "num-traits",
  "once_cell",
  "paste",
- "pulp",
+ "pulp 0.18.22",
  "raw-cpuid",
  "rayon",
  "seq-macro",
@@ -1048,6 +1048,18 @@ name = "pulp"
 version = "0.18.22"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a0a01a0dc67cf4558d279f0c25b0962bd08fc6dec0137699eae304103e882fe6"
+dependencies = [
+ "bytemuck",
+ "libm",
+ "num-complex",
+ "reborrow",
+]
+
+[[package]]
+name = "pulp"
+version = "0.19.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0a689ca79b557c6d5121e13280c5706f1368248f2f4c75a635c68092d7ead3ed"
 dependencies = [
  "bytemuck",
  "libm",
@@ -1167,7 +1179,7 @@ dependencies = [
  "num-traits",
  "numpy",
  "once_cell",
- "pulp",
+ "pulp 0.19.6",
  "pyo3",
  "qiskit-circuit",
  "rand",
diff --git a/crates/accelerate/Cargo.toml b/crates/accelerate/Cargo.toml
index cc624e7750d6..2f4e1e012b1c 100644
--- a/crates/accelerate/Cargo.toml
+++ b/crates/accelerate/Cargo.toml
@@ -58,7 +58,7 @@ version = "0.2.0"
 features = ["ndarray"]
 
 [dependencies.pulp]
-version = "0.18.22"
+version = "0.19.6"
 features = ["macro"]
 
 [features]