diff --git a/var/spack/repos/builtin/packages/eckit/package.py b/var/spack/repos/builtin/packages/eckit/package.py
index fdfe2eab6961d5..f389e2b4d50ba3 100644
--- a/var/spack/repos/builtin/packages/eckit/package.py
+++ b/var/spack/repos/builtin/packages/eckit/package.py
@@ -174,6 +174,21 @@ def cmake_args(self):
             # (the LAPACK backend is still built though):
             args.append(self.define("ENABLE_LAPACK", "linalg=lapack" in self.spec))
 
+        if self.spec.satisfies("linalg=lapack"):
+            lapack_vendors = {
+                "amdlibflame": "AOCL",
+                "atlas": "ATLAS",
+                "essl": "IBMESSL",
+                "flexiblas": "FlexiBLAS",
+                "fujitsu-ssl2": "Fujitsu_SSL2",
+                "netlib-lapack": "Generic",
+                "nvhpc": "NVHPC",
+                "openblas": "OpenBLAS",
+            }
+            if self.spec["lapack"].name in lapack_vendors.keys():
+                vendor = lapack_vendors[self.spec["lapack"].name]
+                args.append(self.define("BLA_VENDOR", vendor))
+
         if "+admin" in self.spec and "+termlib" in self.spec["ncurses"]:
             # Make sure that libeckit_cmd is linked to a library that resolves 'setupterm',
             # 'tputs', etc. That is either libncurses (when 'ncurses~termlib') or libtinfo (when