The Brazilian ended the match limping after falling awkwardly in the dying minutes of Spurs' 1-0 win over Bolton on Saturday afternoon.
The goalkeeper, who has been instrumental in the club's quest to gain Champions League football this year, is now a doubt for Wednesday's crunch match against Manchester City at Eastlands.
"Gomes' groin is sore. He'll have a scan and see what the damage is. Hopefully he'll be okay," said Redknapp. "If he isn't fit, Ben (Alnwick) would play and Jimmy (Walker) would be on the bench."
He added: "Gomes is looking a fantastic goalkeeper. He has everything and looks like the goalkeeper everyone was talking about before he came here (from PSV Eindhoven)."
Fellow Champions League chasers City brought in Sunderland reserve goalkeeper Marton Fulop this week after number one stopper Shay Given dislocated a shoulder.
Should Gomes not be fit for the remainder of the campaign, Redknapp will be forced to field England under-21 goalkeeper Ben Alnwick or veteran Jimmy Walker, neither of whom have played for Spurs this year.
Man City v Spurs Match Betting
Source: PA
Source: PA