The former Anfield star says the buck will stop with Klopp when it comes to transfers, as it did with Brendan Rodgers.
The former Borussia Dortmund replaced former boss Brendan Rodgers at Anfield last week, with many now expecting the Reds to be transformed, with talk of a potential title challenge also being mooted.
Many are expecting him to tempt several big stars to the club in future, with many now having linked him with moves for several of his former stars from the Bundesliga.
Aldridge though, believes he will need extra money to entice those type of quality players to the club for a push towards the Champions League.
“Klopp will have stipulated his demands to the owners and backing in the transfer market,” he told the liverpoolecho.
“He's got his own reputation and will be able to entice a certain type of player and to get them he might need a little bit more money to get into the Champions League but that excites me.”
The former star has however conceded that the buck will stop with Klopp if transfers once again prove to be a failure.
It was ultimately the failure of the transfer committee, and former manager Brendan Rodgers, in the transfer window that saw him lose his job, with them having spent poorly over the last two seasons.
Klopp has already insisted he will have the final say on transfers during his reign, and Aldridge believes that is the right way to go about the process.
“Jurgen Klopp has come out and insisted that he’ll have the last say on players which is so essential from my point of view,” he added.
“The manager has to be more involved so he lives and dies by the sword in that area. If the signings come in and they don’t work it’s Jurgen’s fault but if they do well he gets the pat on the back.”