diff --git a/pkgs/development/libraries/science/math/openblas/default.nix b/pkgs/development/libraries/science/math/openblas/default.nix
index 69b51422100b..7f359ebacbdb 100644
--- a/pkgs/development/libraries/science/math/openblas/default.nix
+++ b/pkgs/development/libraries/science/math/openblas/default.nix
@@ -194,6 +194,12 @@ stdenv.mkDerivation rec {
     hash = "sha256-foP2OXUL6ttgYvCxLsxUiVdkPoTvGiHomdNudbSUmSE=";
   };
 
+  patches = [
+    # Remove this once https://github.com/OpenMathLib/OpenBLAS/issues/5414 is
+    # resolved.
+    ./disable-sme-sgemm-kernel.patch
+  ];
+
   postPatch = ''
     # cc1: error: invalid feature modifier 'sve2' in '-march=armv8.5-a+sve+sve2+bf16'
     substituteInPlace Makefile.arm64 --replace "+sve2+bf16" ""
@@ -275,6 +281,9 @@ stdenv.mkDerivation rec {
     })
   );
 
+  # The default "all" target unconditionally builds the "tests" target.
+  buildFlags = lib.optionals (!doCheck) [ "shared" ];
+
   doCheck = true;
   checkTarget = "tests";
 
diff --git a/pkgs/development/libraries/science/math/openblas/disable-sme-sgemm-kernel.patch b/pkgs/development/libraries/science/math/openblas/disable-sme-sgemm-kernel.patch
new file mode 100644
index 000000000000..ae85a039b254
--- /dev/null
+++ b/pkgs/development/libraries/science/math/openblas/disable-sme-sgemm-kernel.patch
@@ -0,0 +1,13 @@
+diff --git a/interface/gemm.c b/interface/gemm.c
+index c5182c266..7056422e1 100644
+--- a/interface/gemm.c
++++ b/interface/gemm.c
+@@ -436,7 +436,7 @@ void CNAME(enum CBLAS_ORDER order, enum CBLAS_TRANSPOSE TransA, enum CBLAS_TRANS
+ #endif
+ #if defined(ARCH_ARM64) && (defined(USE_SGEMM_KERNEL_DIRECT)||defined(DYNAMIC_ARCH))
+ #if defined(DYNAMIC_ARCH)
+- if (support_sme1())
++ if (false)
+ #endif
+   if (beta == 0 && alpha == 1.0 && order == CblasRowMajor && TransA == CblasNoTrans && TransB == CblasNoTrans) {
+ 	SGEMM_DIRECT(m, n, k, a, lda, b, ldb, c, ldc);