The young star, who bagged 12 goals in his debut top tier season, had a £30m relegation release clause in his contract, with a host of clubs including Manchester United, Everton, Chelsea and Newcastle all linked to him.
It appears Enzo Maresca's Chelsea have won that race, with football journalist Fabrizio Romano reporting that the London side and Town have exchanged documents ahead of the £30m move.
READ MORE: Ashton on why Town had to accept Delap relegation clause and 'well protected' comment
Delap is said to have his medical booked in for tomorrow. The summer transfer window opened today.
Speaking exclusively to the EADT/Star last week, Town CEO Mark Ashton said of Delap: "Let's be really clear, when you are signing players from a Premier League football club as a newly-promoted Premier League football club, young or old, they're very nervous about being stuck in a Championship club.
"Because the stats show that newly promoted clubs often go straight back down. So the contracts are always heavily negotiated.
"The reality is that when there’s a high profile player who is wanted by several clubs you get presented with a term sheet – ‘those are the terms for the club’ and ‘those are the terms for the player’.
"You're told, 'If you want to talk to the player and give your pitch to sign him you have to agree to those terms because if you don't then there are six other clubs who will agree'. We speak to other clubs, we know the market, so we know that that's not lies.
"So there is very little to negotiate. You're taking it or you're leaving it.
"At that point, our relations allow us to nibble around the edges of those agreements, to bend and twist them, so we get the best version of it.
"That’s just fact. That’s just the reality of where you are. You've gone from being a big fish in a small to medium pond, to being a big fish in the Atlantic Ocean."