Irving said back in October at a fan event at TD Garden that he plans to re-sign with the Celtics in the summer, when he can opt out of his current contract and sign a supermax deal.
But it has recently been suggested that the 26-year-old could hit the free-agency market and instead partner up with LeBron in southern California.
LeBron and Irving were team-mates at the Cleveland Cavaliers alongside Love and led the Cavs to the 2016 title.
But Kyrie demanded a trade from Cleveland the following year in order to lead his own team out of LeBron’s shadow, having simply been the four-time MVP’s No 2 for the Cavs for all his own ability.
Yet Irving recently revealed that he spoke to LeBron over the phone and apologised for his attitude and actions while in Cleveland, claiming he was a “young player that wanted everything at his fingertips”.
That has led to suggestions that the duo could rekindle their relationship on and off the court – but Love, who remains in Cleveland but has been out injured since November, admits he has no idea about such a possibility.
“The funny thing about Kyrie is it’s like just when you think you know what he’s thinking then he will completely flip,” Love told cleveland.com.
“I think he likes to keep people guessing. I think that’s going to be the big question this off-season.
“I know he said he was coming back to Boston and he very well could.
“But I think the only person that knows what Kyrie is going to do is Kyrie.
“I don’t know if he’s made up his mind yet.
“He could change on the drop of a dime because something will come up or the mood he was in or I don’t know.
“With Bron I think you’re not going to turn away from a generational talent and that’s what Kyrie is.
“I’m sure if Kyrie wanted to go and those guys wanted to rekindle that I don’t think either would have a problem with that.
“But I think the probability is… I’m not entirely sure. I mean, do any of us know?
“That’s going to make for really interesting speculation this summer, especially if he doesn’t make his decision on the first day.”
The Lakers have also been linked with pitching for Kawhi Leonard, Kevin Durant or Klay Thompson in the offseason, while a blockbuster trade for New Orleans Pelicans superstar Anthony Davis is also said to be an ambition of the franchise.