diff --git a/.github/workflows/ci.yaml b/.github/workflows/ci.yaml
index 0f517fac9..c910b32e0 100644
--- a/.github/workflows/ci.yaml
+++ b/.github/workflows/ci.yaml
@@ -88,6 +88,20 @@ jobs:
         run: sudo apt-get install libopenblas-dev gfortran
       - run: ./scripts/all-tests.sh "$FEATURES" ${{ matrix.rust }}
 
+  blas-msrv:
+    runs-on: ubuntu-latest
+    name: blas-msrv
+    steps:
+      - uses: actions/checkout@v4
+      - uses: dtolnay/rust-toolchain@master
+        with:
+          toolchain: 1.67.0  # BLAS MSRV
+      - uses: rui314/setup-mold@v1
+      - uses: Swatinem/rust-cache@v2
+      - name: Install openblas
+        run: sudo apt-get install libopenblas-dev gfortran
+      - run: ./scripts/blas-integ-tests.sh "$FEATURES" 1.67.0
+
   miri:
     runs-on: ubuntu-latest
     name: miri
diff --git a/README.rst b/README.rst
index abac4c18e..ef6577f13 100644
--- a/README.rst
+++ b/README.rst
@@ -156,6 +156,14 @@ there is no tight coupling to the ``blas-src`` version, so version selection is
 0.13        0.2.0        0.6.0
 =========== ============ ================ ==============
 
+------------
+BLAS on MSRV
+------------
+
+Although ``ndarray`` currently maintains an MSRV of 1.64.0, this is separate from the MSRV (either stated or real) of the various BLAS providers.
+As of the time of writing, ``openblas`` currently supports MSRV of 1.67.0.
+So, while ``ndarray`` and ``openblas-src`` are compatible, they can only work together with toolchains 1.67.0 or above.
+
 Recent Changes
 --------------
 
diff --git a/scripts/all-tests.sh b/scripts/all-tests.sh
index b9af6b65a..e98b90df1 100755
--- a/scripts/all-tests.sh
+++ b/scripts/all-tests.sh
@@ -23,8 +23,9 @@ cargo test -v -p ndarray -p ndarray-rand --release --features "$FEATURES" $QC_FE
 # BLAS tests
 cargo test -p ndarray --lib -v --features blas
 cargo test -p blas-mock-tests -v
-cargo test -p blas-tests -v --features blas-tests/openblas-system
-cargo test -p numeric-tests -v --features numeric-tests/test_blas
+if [ "$CHANNEL" != "1.64.0" ]; then
+    ./scripts/blas-integ-tests.sh "$FEATURES" $CHANNEL
+fi
 
 # Examples
 cargo test --examples
diff --git a/scripts/blas-integ-tests.sh b/scripts/blas-integ-tests.sh
new file mode 100755
index 000000000..5192d67e3
--- /dev/null
+++ b/scripts/blas-integ-tests.sh
@@ -0,0 +1,11 @@
+#!/bin/sh
+
+set -x
+set -e
+
+FEATURES=$1
+CHANNEL=$2
+
+# BLAS tests
+cargo test -p blas-tests -v --features blas-tests/openblas-system
+cargo test -p numeric-tests -v --features numeric-tests/test_blas