The 33-year-old striker has completed his move from Barcelona and will join up with Diego Simeone's squad in due course.
"I was happy to hear about Suarez's move because [now] Luis can have clear objectives," Abreu told Radio MARCA.
"He's saying goodbye to something as amazing and exciting as his spell at Barcelona.
"It alters his initial [career] plans a bit but doesn't change them [completely].
"That self-esteem has to come out.
"It's going to take 30 seconds [for him to settle in at Atletico] once he meets Cholo face to face.
"As soon as Simeone puts that venom of passion across - 30 seconds looking eye to eye."
Abreu also expressed some bewilderment as to why Barcelona would let Suarez go.
"Out of context football-wise, they're letting go a productive player who resolves lots of issues," he said.
"It's not for me to say whether there are financial aspects at the club and they have to bring down the annual [wage] cost of the squad.
"I don't want to have an opinion on everything without knowing anything."