The 26-year-old midfielder joined the Reds for a reported fee of £25 million yesterday and is capable of playing in a number of different positions.
Lallana scored nine times and made six assists as Southampton captain last year, form that earned him a place in England's World Cup squad.
And Fowler has revealed he is a huge fan of the player, especially considering his ability to play in so many different areas.
"I think he's a brilliant player - and I'm not just saying that because he's a Liverpool player now," Fowler told Liverpool's official website.
"I enjoyed watching him last year at Southampton. I think he's got the ability to change tight games."
"He's both footed and can play anywhere along the midfield or the front."
"I don't think we've seen this type of player for a long time in the Premier League where he's got the ability to make space with a little turn or a little flick. I really enjoyed watching him last year. Brendan has got options as to where he can play him."
Fowler joins former England and Tottenham striker Gary Lineker in praising the move, with the BBC presenter yesterday stating his view that Lallana is an "excellent signing."
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As Opta stats show, the 26-year-old compares favourably with Liverpool's midfield, only scoring less goals than Steven Gerrard and almost registering as many assists as Philippe Coutinho and Jordan Henderson.
Lallana also won more dribbles than any Liverpool midfielder and made 36 accurate crosses in the Premier League last season.