Despite having been critical when United splashed out £90m to sign midfielder Paul Pogba, Klopp has launched a summer slurge of his own this summer, spending in excess of £170m on the likes of Alisson, Xherdan Shaqiri, Naby Keita and Fernandinho.
The German was quick to temper expectations following the buys, as well as to defend his decision to splash the cash but that hasn't stopped Mourinho from weighing in.
Speaking following the penalty shoot-out victory over AC Milan in the International Champions Cup on Wednesday, Mourinho said that such spending will bring about an expectation that Liverpool end their 28-year league title drought.
"I think if you have the money, if you invest well, it is better than to have it in the bank. Because the interest rates are very low," Mourinho explained.
"The problem is you have to invest well and honestly I think they did very well, because every player they bought are quality players. I'm happy for them.
"And I'm also happy to smile [about Klopp's previous comments] and to see that, you know, you can change your opinion and change as a person, it's funny.
"That's okay, but maybe this season finally you demand that they win. I think you have to be fair and now you have to demand [they win the league].
"You have to say the team, with the investments not just this season, last season, that you made in January, that you make now, because that will probably be the record for the Premier League this season, I can't see anyone else getting close to spending what they have.
"A team that was a finalist in the Champions League, you have to say you are a big candidate, you have to win."