diff --git a/recipe/6542.patch b/recipe/6542.patch
new file mode 100644
index 0000000..9773bea
--- /dev/null
+++ b/recipe/6542.patch
@@ -0,0 +1,102 @@
+From 0bbf05b0fa8bb7948803ab0132d71439c567e92d Mon Sep 17 00:00:00 2001
+From: Alex Gaynor <alex.gaynor@gmail.com>
+Date: Wed, 3 Nov 2021 19:38:16 -0400
+Subject: [PATCH] Bump pyo3 and fix warnings
+
+---
+ src/rust/Cargo.lock              | 16 ++++++++--------
+ src/rust/Cargo.toml              |  2 +-
+ src/rust/src/x509/certificate.rs |  2 +-
+ src/rust/src/x509/crl.rs         |  2 +-
+ 4 files changed, 11 insertions(+), 11 deletions(-)
+
+diff --git a/src/rust/Cargo.lock b/src/rust/Cargo.lock
+index 3c56819090..873bee324a 100644
+--- a/src/rust/Cargo.lock
++++ b/src/rust/Cargo.lock
+@@ -281,9 +281,9 @@ dependencies = [
+ 
+ [[package]]
+ name = "pyo3"
+-version = "0.14.5"
++version = "0.15.0"
+ source = "registry+https://github.com/rust-lang/crates.io-index"
+-checksum = "35100f9347670a566a67aa623369293703322bb9db77d99d7df7313b575ae0c8"
++checksum = "64664505ce285a59b8b7e940fbe54ad65b1758a0810eddc5bc26df6f6ec8c557"
+ dependencies = [
+  "cfg-if",
+  "indoc",
+@@ -297,18 +297,18 @@ dependencies = [
+ 
+ [[package]]
+ name = "pyo3-build-config"
+-version = "0.14.5"
++version = "0.15.0"
+ source = "registry+https://github.com/rust-lang/crates.io-index"
+-checksum = "d12961738cacbd7f91b7c43bc25cfeeaa2698ad07a04b3be0aa88b950865738f"
++checksum = "5f1e4a72de84cdcd69f62211b62f62753d0c11b7b5715f3467f3754dab22a7ca"
+ dependencies = [
+  "once_cell",
+ ]
+ 
+ [[package]]
+ name = "pyo3-macros"
+-version = "0.14.5"
++version = "0.15.0"
+ source = "registry+https://github.com/rust-lang/crates.io-index"
+-checksum = "fc0bc5215d704824dfddddc03f93cb572e1155c68b6761c37005e1c288808ea8"
++checksum = "244f21d0a3887a9c02018b94e3b78d693dc7eca5c56839b7796a499cc364deb4"
+ dependencies = [
+  "pyo3-macros-backend",
+  "quote",
+@@ -317,9 +317,9 @@ dependencies = [
+ 
+ [[package]]
+ name = "pyo3-macros-backend"
+-version = "0.14.5"
++version = "0.15.0"
+ source = "registry+https://github.com/rust-lang/crates.io-index"
+-checksum = "71623fc593224afaab918aa3afcaf86ed2f43d34f6afde7f3922608f253240df"
++checksum = "b3d3d18ac41d05199bb82645d56e39f8c8b4909a0137c6f2640f03685b29f672"
+ dependencies = [
+  "proc-macro2",
+  "pyo3-build-config",
+diff --git a/src/rust/Cargo.toml b/src/rust/Cargo.toml
+index a2c90b4f96..ef3059e948 100644
+--- a/src/rust/Cargo.toml
++++ b/src/rust/Cargo.toml
+@@ -7,7 +7,7 @@ publish = false
+ 
+ [dependencies]
+ lazy_static = "1"
+-pyo3 = { version = "0.14.5" }
++pyo3 = { version = "0.15.0" }
+ asn1 = { version = "0.8.6", default-features = false, features = ["derive"] }
+ pem = "1.0"
+ chrono = { version = "0.4", default-features = false, features = ["alloc", "clock"] }
+diff --git a/src/rust/src/x509/certificate.rs b/src/rust/src/x509/certificate.rs
+index e72b954d13..99bd2d318d 100644
+--- a/src/rust/src/x509/certificate.rs
++++ b/src/rust/src/x509/certificate.rs
+@@ -6,7 +6,7 @@ use crate::asn1::{big_asn1_uint_to_py, py_uint_to_big_endian_bytes, PyAsn1Error,
+ use crate::x509;
+ use crate::x509::{crl, sct};
+ use chrono::Datelike;
+-use pyo3::{PyNativeType, ToPyObject};
++use pyo3::ToPyObject;
+ use std::collections::hash_map::DefaultHasher;
+ use std::hash::{Hash, Hasher};
+ use std::sync::Arc;
+diff --git a/src/rust/src/x509/crl.rs b/src/rust/src/x509/crl.rs
+index cbcd127b25..551d4052af 100644
+--- a/src/rust/src/x509/crl.rs
++++ b/src/rust/src/x509/crl.rs
+@@ -5,7 +5,7 @@
+ use crate::asn1::{big_asn1_uint_to_py, py_uint_to_big_endian_bytes, PyAsn1Error, PyAsn1Result};
+ use crate::x509;
+ use crate::x509::certificate;
+-use pyo3::{PyNativeType, ToPyObject};
++use pyo3::ToPyObject;
+ use std::convert::TryInto;
+ use std::sync::Arc;
+ 
diff --git a/recipe/meta.yaml b/recipe/meta.yaml
index 4bce268..41ceedf 100644
--- a/recipe/meta.yaml
+++ b/recipe/meta.yaml
@@ -7,6 +7,9 @@ package:
 source:
   url: https://pypi.io/packages/source/c/cryptography/cryptography-{{ version }}.tar.gz
   sha256: 9933f28f70d0517686bd7de36166dda42094eac49415459d9bdf5e7df3e0086d
+  patches:
+    # Update pyo3 to avoid https://github.com/PyO3/pyo3/pull/1847#discussion_r727122252
+    - 6542.patch  # [build_platform != target_platform]
 
 build:
   number: 2
@@ -14,7 +17,7 @@ build:
   script:
     {% if build_platform != target_platform %}
     - export PYO3_CROSS_INCLUDE_DIR=$PREFIX/include
-    - export PYO3_CROSS_LIB_DIR=$PREFIX/lib/python$PY_VER/
+    - export PYO3_CROSS_LIB_DIR=$SP_DIR/../
     - export PYO3_CROSS_PYTHON_VERSION=$PY_VER
     {% endif %}
     - {{ PYTHON }} -m pip install . -vv