Manager Alan Pardew has revealed the Holland international could miss up to three games after damaging a knee during Tuesday night's 3-0 home defeat by Everton.
Rob Elliot, who has been called up for the last two Republic of Ireland squads, but is yet to be capped, will deputise with Jak Alnwick providing the back-up.
Pardew said: "Tim won't play, he's out for these next two or three games for sure, so Rob Elliot will come in.
"He has made his international squad and he is keen to stay in that squad and he needs to play, so the opportunity lands at his feet.
"Rob is a confident goalie and he will look to take that on."
Meanwhile, striker Loic Remy is expected to return to training after a calf injury on Monday, while full-back Davide Santon has recovered from a bout of tonsillitis and is in contention for selection.
Santon's fellow defender Mathieu Debuchy remains on the sidelines with a groin problem.