Tony Pulis' side moved out of the relegation zone with a 1-0 win over Aston Villa and will be looking for its fourth win in seven when it hosts a Canaries side winless in four.
Palace has lifted itself out of the relegation zone thanks to a good run at Selhurst Park, winning two and drawing one of its last four clashes.
It did lose its last home match - 3-0 to Newcastle United on December 21 - but a 1-0 win at Aston Villa on Boxing Day made amends for that reverse.
And Palace put up a good fight at second-placed Manchester City on Saturday, forcing goalkeeper Joe Hart into several good saves en route to suffering a 1-0 defeat.
Norwich has not won in its last four top-flight matches, form that has seen it slip to 14th in the table, although it performed well in a 1-0 home loss to champions Manchester United on Saturday.
Its manager, Chris Hughton, is expecting a tough test against Tony Pulis' resurgent Palace outfit.
"[Pulis] certainly hasn't changed too many of the players [since being appointed] because they are the ones he inherited," he said on Monday. "We know Tony sets his teams up very well, they're very well organized. I think the effect of a new manager coming in with different ways has made them hard to beat.
"Tony is used to working in this division and used to doing well in this division. We know it will be a tough game. They will be a hard team to break down, at home they have a very passionate support behind them. We have to make sure we give ourselves every opportunity [to win] which if I look at recent games away from home we have done, we gave ourselves every chance to get points from those games."
Only one side - Fulham - has conceded more goals than Norwich in this season's Premier League but, with just 12 goals in 19 matches, Palace has the division's worst attack.
Striker Cameron Jerome was taken off with a knee injury in the defeat at the Etihad Stadium, while Stuart O'Keefe (thigh) and Kagisho Dikgacoi (hamstring) are in doubt.
Remaining on Palace's injury list are defenders Paddy McCarthy (groin) and Jack Hunt (ankle), midfielders Jerome Thomas (calf) and Adlene Guedioura (ribs) and striker Glenn Murray (knee).
Norwich is sweating on the fitness of top scorer Gary Hooper, who was substituted as a precaution against United, and midfielder Jonny Howson (back) may also miss out.
Definitely ruled out are midfield trio Anthony Pilkington (hamstring), Alex Tettey (ankle) and Elliott Bennett (knee).
The two sides have met just three times in Premier League history, with two draws in 2004-05 followed by a 1-0 win to Norwich in November this season.
Palace's trip to Carrow Road was its first match under Pulis, but Hooper's first-half strike ensured Norwich claimed all three points.