Since joining Trabzonspor from Hull City during the close season, N'Doye has failed to net in 12 appearances for the club.
He scored five goals in 15 appearances for Hull last season but could not stop the club being relegated from the Premier League.
"I hope Dame can emulate that for us or do even better," Allardyce told British media.
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"It's a calculated risk. The biggest thing is the quality of the player.
"If you think he has got that quality to make a difference. The gamble is, can they do it straight away? If they can't, the games slip by and by the time they get used to it, it is too late."
Sunderland are second from bottom in the Premier League table and they travel to 17th-placed Swansea City on Wednesday.
(Reporting by Shravanth Vijayakumar in Bengaluru; editing by Amlan Chakraborty)
