Manchester United have been chasing the Palace defender’s signature since the transfer window opened.
The Red Devils have had two offers for the 21-year-old rejected, the most recent of which was in the region of £50million.
Palace are eager to retain the England Under-21 international’s services but are willing to cash in on him if their £60million valuation is met.
United are hoping to lower Palace’s asking price for their young full-back in a meeting with the south London chiefs, which, according to the Telegraph, will take place later this afternoon.
They claim United’s executive vice-chairman Ed Woodward and head of corporate development Matt Judge will meet with Palace chiefs to hash out an agreement.
Wan-Bissaka has remained silent on the intense speculation on his future and is focused solely on improving as a player.
When asked what his targets are for next season, he said: “I’d say more assists mainly than I have now and get into goalscoring chances.”
Wan-Bissaka has been widely praised for his defensive prowess this season, in particular has defending in one-one situations.
The Palace ace attributes his success to his previous experience as a winger, saying: “The switch [to right-back] started when I was 11.
“I went to a winger and was there all the way until I was 18 and that’s when the formation changed to wing-backs and that’s when I moved to wing-back.
“I was enjoying it there, it showed parts of my defending, that’s where it got noticed and then it changed into a back four and I got moulded into a right-back. And that’s where it started.
“For me, the advantage is I was a winger, so whoever I come up against I know what I’m going to expect. “Whether he’s going in or out, but my main focus is to show them out.”