diff --git a/var/spack/repos/builtin/packages/openblas/package.py b/var/spack/repos/builtin/packages/openblas/package.py
index 5e1a6f2b8e4..269a2e9613a 100644
--- a/var/spack/repos/builtin/packages/openblas/package.py
+++ b/var/spack/repos/builtin/packages/openblas/package.py
@@ -70,6 +70,11 @@ class Openblas(CMakePackage, MakefilePackage):
     variant("ilp64", default=False, description="Force 64-bit Fortran native integers")
     variant("pic", default=True, description="Build position independent code")
     variant("shared", default=True, description="Build shared libraries")
+    variant(
+        "dynamic_dispatch",
+        default=True,
+        description="Enable runtime cpu detection for best kernel selection",
+    )
     variant(
         "consistent_fpcsr",
         default=False,
@@ -239,6 +244,12 @@ class Openblas(CMakePackage, MakefilePackage):
         when="%clang",
         msg="OpenBLAS @:0.2.19 does not support OpenMP with clang!",
     )
+    # See https://github.com/OpenMathLib/OpenBLAS/issues/2826#issuecomment-688399162
+    conflicts(
+        "+dynamic_dispatch",
+        when="platform=windows",
+        msg="Visual Studio does not support OpenBLAS dynamic dispatch features",
+    )
 
     depends_on("perl", type="build")
 
@@ -453,6 +464,9 @@ def make_defs(self):
         # Add target and architecture flags
         make_defs += self._microarch_target_args()
 
+        if self.spec.satisfies("+dynamic_dispatch"):
+            make_defs += ["DYNAMIC_ARCH=1"]
+
         # Fortran-free compilation
         if "~fortran" in self.spec:
             make_defs += ["NOFORTRAN=1"]
@@ -562,6 +576,8 @@ def check_install(self):
 class CMakeBuilder(spack.build_systems.cmake.CMakeBuilder):
     def cmake_args(self):
         cmake_defs = [self.define("TARGET", "GENERIC")]
+        if self.spec.satisfies("+dynamic_dispatch"):
+            cmake_defs += [self.define("DYNAMIC_ARCH", "ON")]
         if self.spec.satisfies("platform=windows"):
             cmake_defs += [
                 self.define("DYNAMIC_ARCH", "OFF"),