diff --git a/textproc/py-rich/Makefile b/textproc/py-rich/Makefile
index fffe40efc13a..8a9eb4586399 100644
--- a/textproc/py-rich/Makefile
+++ b/textproc/py-rich/Makefile
@@ -1,27 +1,27 @@
 PORTNAME=	rich
 PORTVERSION=	13.3.1
 CATEGORIES=	textproc python
 MASTER_SITES=	PYPI
 PKGNAMEPREFIX=	${PYTHON_PKGNAMEPREFIX}
 
 MAINTAINER=	matthew@FreeBSD.org
 COMMENT=	Rich text and beautiful formatting in the terminal
 WWW=		https://github.com/Textualize/rich
 
 LICENSE=	MIT
 LICENSE_FILE=	${WRKSRC}/LICENSE
 
-RUN_DEPENDS=	${PYTHON_PKGNAMEPREFIX}markdown-it-py>=2.1.0:textproc/py-markdown-it-py@${PY_FLAVOR} \
-		${PYTHON_PKGNAMEPREFIX}pygments>=2.6.0:textproc/py-pygments@${PY_FLAVOR}
+RUN_DEPENDS=	${PYTHON_PKGNAMEPREFIX}markdown-it-py>=2.1.0<3.0.0:textproc/py-markdown-it-py@${PY_FLAVOR} \
+		${PYTHON_PKGNAMEPREFIX}pygments>=2.14.0<3.0.0:textproc/py-pygments@${PY_FLAVOR}
 
 NO_ARCH=	yes
 USES=		python:3.7+
 USE_PYTHON=	autoplist concurrent distutils
 
 .include <bsd.port.pre.mk>
 
 .if ${PYTHON_REL} < 30900
-RUN_DEPENDS+=	${PYTHON_PKGNAMEPREFIX}typing-extensions>=4.0.0:devel/py-typing-extensions@${PY_FLAVOR}
+RUN_DEPENDS+=	${PYTHON_PKGNAMEPREFIX}typing-extensions>=4.0.0<5.0:devel/py-typing-extensions@${PY_FLAVOR}
 .endif
 
 .include <bsd.port.post.mk>