diff --git a/eigen3.spec b/eigen3.spec
index 12ffc0d..8154f3e 100644
--- a/eigen3.spec
+++ b/eigen3.spec
@@ -16,9 +16,15 @@
 %global blaslib openblas
 %endif
 
+%if 0%{?rhel} >= 8
+%bcond_with qt
+%else
+%bcond_without qt
+%endif
+
 Name:           eigen3
 Version:        3.3.9
-Release:        2%{?dist}
+Release:        3%{?dist}
 Summary:        A lightweight C++ template library for vector and matrix math
 
 License:        MPLv2.0 and LGPLv2+ and BSD
@@ -39,7 +45,9 @@ BuildRequires:  sparsehash-devel
 BuildRequires:  suitesparse-devel
 BuildRequires:  gcc-gfortran
 BuildRequires:  SuperLU-devel
+%if %{with qt}
 BuildRequires:  qt-devel
+%endif
 BuildRequires:  scotch-devel
 BuildRequires:  metis-devel
 
@@ -116,6 +124,9 @@ rm -f %{_vpath_builddir}/doc/html/unsupported/installdox
 
 
 %changelog
+* Tue Jan 19 2021 Jan Grulich <jgrulich@redhat.com> - 3.3.9-3
+- Drop qt dependency on RHEL 8 and higher
+
 * Tue Jan 19 2021 Sandro Mani <manisandro@gmail.com> - 3.3.9-2
 - Backport fix for conflicting declarations of log1p