The Guardian has reported that the former Liverpool player is among a number of strikers Tottenham have been offered.
Watford striker Troy Deeney and Carlos Vincius of Benfica have also been offered to Spurs, who are on the hunt for a new striker with Harry Kane the only senior player for that position in the squad at the moment.
Benteke has been on the books of Palace since the summer of 2016 when he joined from Premier League rivals Liverpool.
The Belgium international striker scored 16 goals and provided two assists in the league for the Eagles back in the 2016-17 season, but since then the 29-year-old has struggled to score regularly.
The former Aston Villa striker scored just two goals in the league last season, while during the 2018-19 campaign, he found the net just once in the league.