diff --git a/www/py-httpcore/Makefile b/www/py-httpcore/Makefile
index 75efaf50d965..e00da90abcb4 100644
--- a/www/py-httpcore/Makefile
+++ b/www/py-httpcore/Makefile
@@ -1,29 +1,30 @@
 # Created by: Po-Chuan Hsieh <sunpoet@FreeBSD.org>
 
 PORTNAME=	httpcore
-PORTVERSION=	0.13.3
+PORTVERSION=	0.13.4
 CATEGORIES=	www python
 MASTER_SITES=	CHEESESHOP
 PKGNAMEPREFIX=	${PYTHON_PKGNAMEPREFIX}
 
 MAINTAINER=	sunpoet@FreeBSD.org
 COMMENT=	Minimal low-level HTTP client
 
 LICENSE=	BSD3CLAUSE
 LICENSE_FILE=	${WRKSRC}/LICENSE.md
 
-RUN_DEPENDS=	${PYTHON_PKGNAMEPREFIX}h11>=0.11<0.13:net/py-h11@${PY_FLAVOR} \
+RUN_DEPENDS=	${PYTHON_PKGNAMEPREFIX}anyio>=3.0<4:devel/py-anyio@${PY_FLAVOR} \
+		${PYTHON_PKGNAMEPREFIX}h11>=0.11<0.13:net/py-h11@${PY_FLAVOR} \
 		${PYTHON_PKGNAMEPREFIX}sniffio>=1.0<2:devel/py-sniffio@${PY_FLAVOR}
 
 USES=		python:3.6+
 USE_PYTHON=	autoplist concurrent distutils
 
 NO_ARCH=	yes
 
 OPTIONS_DEFINE=	HTTP2
 OPTIONS_DEFAULT=HTTP2
 HTTP2_DESC=	HTTP/2 support
 
 HTTP2_RUN_DEPENDS=	${PYTHON_PKGNAMEPREFIX}h2>=3<5:www/py-h2@${PY_FLAVOR}
 
 .include <bsd.port.mk>
diff --git a/www/py-httpcore/distinfo b/www/py-httpcore/distinfo
index bd54939446e4..3094ca3e22d6 100644
--- a/www/py-httpcore/distinfo
+++ b/www/py-httpcore/distinfo
@@ -1,3 +1,3 @@
-TIMESTAMP = 1620405463
-SHA256 (httpcore-0.13.3.tar.gz) = 5d674b57a11275904d4fd0819ca02f960c538e4472533620f322fc7db1ea0edc
-SIZE (httpcore-0.13.3.tar.gz) = 45292
+TIMESTAMP = 1622214126
+SHA256 (httpcore-0.13.4.tar.gz) = 9fa4c623bb9d2280c009c34658cc6315e4fd425a395145645bee205d827263e4
+SIZE (httpcore-0.13.4.tar.gz) = 45139