Khan won the WBC global welterweight title with a fourth round stoppage of Australian Billy Dib in Jeddah on Friday.
"We have both signed and the fight is done and hopefully he gets past his fight on the weekend then we go and do that fight".
Khan emphasised Pacquiao has "signed" for the fight, though he was uncertain how things may play out if Thurman were to pursue any rematch with Pacquiao in the event he loses his WBA super-welterweight title on Saturday. As far as I know it hasn't been even discussed. I'm going to hit him early, remind him of that [knockout loss to Juan Manuel Marquez], and I'm pretty sure he's going to be very cautious.
"We are friends", Khan added.
"[I'm] healthy enough to whip some ass", Thurman told reporters Tuesday during the Grand Arrival of fighters.
The 30-year-old Keith "One Time" Thurman, is now the undefeated WBA Welterweight World Champion and holds the longest reign as welterweight champion in boxing, after he redeemed his title following a stoppage victory over Diego Chaves in 2013.
"He's been in training camp for the past eight weeks, four in the Philippines and four in the States, and he hasn't met with Amir Khan during that time".More news: 'Top Gun Maverick' - First Trailer Released!
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He also said he did not know where Khan's claims had come from.
Pacquiao, one of the sport's most decorated fighters, has a record of 61 victories, seven defeats and two draws in a career spanning 24 years.
"Keith Thurman vs. Shawn Porter was a tremendous fight".
Keith Thurman doesn't just want to defeat Manny Pacquiao.
"As what we have seen in his last fight, he's still nearly as good as he was at his peak".
"When I sparred with him he was at his peak", said Khan.
"Because Pacquiao has fought better opposition, he's got the speed and the movement".
In 2017, Khan and Pacquiao were slated to have a bout but an agreement could not be reached between the two.