diff --git a/gnome-bluetooth.spec b/gnome-bluetooth.spec
index 3a95f82..9c6303f 100644
--- a/gnome-bluetooth.spec
+++ b/gnome-bluetooth.spec
@@ -29,7 +29,7 @@ Conflicts:	bluez-gnome <= 1.8
 Obsoletes:	bluez-gnome <= 1.8
 
 # Otherwise we might end up with mismatching version
-Requires:	%{name}-libs = %{epoch}:%{version}-%{release}
+Requires:	%{name}-libs%{?_isa} = %{epoch}:%{version}-%{release}
 Requires:	bluez >= 5.0
 %ifnarch s390 s390x
 Requires:	pulseaudio-module-bluetooth
@@ -61,8 +61,8 @@ want to display a Bluetooth device selection widget.
 Summary:	Development files for %{name}-libs
 Group:		Development/Libraries
 License:	LGPLv2+
-Requires:	%{name}-libs = %{epoch}:%{version}-%{release}
-Requires:	%{name} = %{epoch}:%{version}-%{release}
+Requires:	%{name}-libs%{?_isa} = %{epoch}:%{version}-%{release}
+Requires:	%{name}%{?_isa} = %{epoch}:%{version}-%{release}
 Requires:	gobject-introspection-devel
 Obsoletes:	gnome-bluetooth-devel < 2.27.1-4
 Provides:	gnome-bluetooth-devel = %{version}
@@ -145,6 +145,7 @@ fi
 * Sun Apr 19 2015 Kalev Lember <kalevlember@gmail.com> - 1:3.16.1-1
 - Update to 3.16.1
 - Use license macro for COPYING files
+- Tighten deps with the _isa macro
 
 * Tue Mar 24 2015 Kalev Lember <kalevlember@gmail.com> - 1:3.16.0-1
 - Update to 3.16.0