Sturridge suffered another hamstring injury within minutes of his first appearance for the club since joining in the January window.
"Daniel will probably miss the next game (Watford) but will hopefully be available the week after," said Pardew to the Express and Star last week.
"With Chadli I'm not sure because it's a recurrence of an old injury, which always makes you a bit more nervous.
"We're desperate to have him back because we're running out of time so we are chasing him along.
"We are at that stage of the season where they can't have any kind of recurrence and we're hoping that when they come back, they will be OK."