Victory over Rangers will secure the league title after nearest challengers Motherwell lost at Kilmarnock on Saturday.
Strathclyde police have spoken to both teams to appeal for calm ahead of the match which kicks off at 1pm.
Celtic manager Neil Lennon insists his team “won’t be there to gloat” should they beat Rangers at Ibrox.
“The last thing we want to do is rub it in people’s faces. We will be respectful of everyone at the stadium,” said Lennon.
Celtic last won the league title at Ibrox in 1967.