Tyre advice please

Gtstew
Gtstew Posts: 2
edited December 2012 in Commuting general
I'm sure the answer to this is completely obvious but just wanna check.I'm currently riding on Schwalbe Sillento II 1.6's and am looking to change to Continental sport contact 1.3's. I am safe to assume changing to slightly narrower tyres isn't going to cause me any problems in fitting?