Southampton supporters will be devastated to see the hitman leave after a prolific five-year spell, but Davis does not expect any bitterness towards his former team-mate.
"I think everyone is delighted for Rickie. Even the most diehard Saints fans who will have hated to see him leave the club will respect what he has done," said Davis, who will lead his country in a friendly in Chile on Wednesday night.
"He's had an unbelievable time there and fired the club from League One to eighth position in the Premier League.
"I think he has deserved this move, I don't think anyone will begrudge him it and I am delighted for him personally.
"I know how much it will mean for him to sign for Liverpool and I hope he will go on to be a success there which I'm sure he will because he has all the attributes and attitude.
"I'm sure he thought his time was gone in terms of getting his chance to go there but I remember how much it meant to him just to play at Anfield with Southampton in our first season back in the Premier League, he had all his family there.
"It's been an unbelievable rise for him and that is a credit to him for how he has adapted his game."
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