The Irons have officially enjoyed their best ever season in the Premier League era and have a positive goal difference for the first time since 1986.
Bilic's side won 3-0 at West Bromwich Albion last time out and they say never change a winning team.
But the former Croatia boss will be forced to after goalkeeper Adrian picked up a calf injury.
Here are the changes Bilic must make to secure all three points against the Welsh side.
Randolph in for Adrian
Randolph has proved more than an able deputy for Adrian this season and there were even calls for the Republic of Ireland 'keeper to replace the Spaniard after some indifferent form last month.
Randolph has been impressive when he has featured in FA Cup matches and when filling in for Adrian after a sending off at the start of the season.
But he has also the unwelcome stat hanging over him that he has been in goal for all three of the club's home defeats this campaign.
Tomkins in for Sakho
Diafra Sakho has been out of sorts of late and was substituted against West Brom last time out.
Bilic needs to get back to having Michail Antonio back in his favoured midfield position but does not want to drop any of his midfield quartet of Mark Noble, Dimitri Payet, Cheikhou Kouyate and Manuel Lanzini.
By taking Sakho out of the equation, Payet can be pushed further forward behind Carroll where he can do maximum damage to a Swansea team without several first team stars.
Antonio can then move back to right midfield as Tomkins comes back in at right back.