diff --git a/pyproject.toml b/pyproject.toml
index 553f782f8..f81484d43 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -6,7 +6,7 @@ requires = [
     "preshed>=3.0.2,<3.1.0",
     "murmurhash>=0.28.0,<1.1.0",
     "thinc>=8.0.12,<8.1.0",
-    "blis==0.7.6",
+    "blis>=0.4.0,<0.8.0",
     "pathy",
     "numpy>=1.15.0",
 ]
diff --git a/requirements.txt b/requirements.txt
index 63a68975e..ca4099be5 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -4,7 +4,7 @@ spacy-loggers>=1.0.0,<2.0.0
 cymem>=2.0.2,<2.1.0
 preshed>=3.0.2,<3.1.0
 thinc>=8.0.12,<8.1.0
-blis==0.7.6
+blis>=0.4.0,<0.8.0
 ml_datasets>=0.2.0,<0.3.0
 murmurhash>=0.28.0,<1.1.0
 wasabi>=0.8.1,<1.1.0
diff --git a/setup.cfg b/setup.cfg
index 649eb4123..586a044ff 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -47,7 +47,7 @@ install_requires =
     cymem>=2.0.2,<2.1.0
     preshed>=3.0.2,<3.1.0
     thinc>=8.0.12,<8.1.0
-    blis==0.7.6,
+    blis>=0.4.0,<0.8.0
     wasabi>=0.8.1,<1.1.0
     srsly>=2.4.1,<3.0.0
     catalogue>=2.0.6,<2.1.0