diff --git a/CHANGELOG.md b/CHANGELOG.md
index e01866e6584..af6be1f0f59 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -17,6 +17,9 @@ and this project adheres to [Semantic Versioning](http://semver.org/spec/v2.0.0.
 - Restrict FFI definitions `PyGILState_Check` and `Py_tracefunc` to the unlimited API. [#1787](https://github.com/PyO3/pyo3/pull/1787)
 - Raise `AttributeError` to avoid panic when calling `del` on a `#[setter]` defined class property. [#1779](https://github.com/PyO3/pyo3/issues/1779)
 - Add missing `_type` field to `PyStatus` struct definition. [#1791](https://github.com/PyO3/pyo3/pull/1791)
+- Loosened the lower bound on the `num-complex` optional dependency to support
+  interop with `rust-numpy` and `ndarray` when building with the MSRV of 1.41
+  [#1799](https://github.com/PyO3/pyo3/pull/1799)
 
 ## [0.14.2] - 2021-08-09
 
diff --git a/Cargo.toml b/Cargo.toml
index d5fb92f32a9..cbe0b65e892 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -21,7 +21,7 @@ inventory = { version = "0.1.4", optional = true }
 libc = "0.2.62"
 parking_lot = "0.11.0"
 num-bigint = { version = "0.4", optional = true }
-num-complex = { version = "0.4", optional = true }
+num-complex = { version = ">= 0.2, < 0.5", optional = true }
 # must stay at 0.1.x for Rust 1.41 compatibility
 paste = { version = "0.1.18", optional = true }
 pyo3-macros = { path = "pyo3-macros", version = "=0.14.2", optional = true }