Rush was speaking before the Reds completed their third signing of the summer in the form of goalkeeper Adam Bogdan, having announced the signings of James Milner and Danny Ings.
The club's record goalscorer told TalkSport: “I think Milner is a great signing. I don’t think I’ve ever seen him have a bad game.
“What I like about Ings is his understanding inside the box. His movement is very good. He has quality with both feet and I think he’s got more in his locker.
“With Daniel [Sturridge] not being available until September or October, we should forget about him at the moment and concentrate on what we’ve got.
“I think Ings will have a major part to play when we have pre-season games. I think he will be given a chance because he’s a quality player.”
Ings scored more goals than any of Liverpool's strikers last season while playing for the lowest-scoring side in the division. Goalscoring has been a problem for the Reds so signing someone who knows how to put the ball in the back of the net was a necessity during the summer - though ideally Liverpool could do with a more prolific forward to complement the signing of Ings to really strengthen their forward line as they can't rely on the injury-prone Daniel Sturridge.
The signing of Milner has been seen as something as a coup for Liverpool given he was well regarded at Manchester City by both the staff and fans. The Reds needed some sort of midfield reinforcements and they have brought in someone with experience and pedigree - particularly important given the departure of Steven Gerrard.
Liverpool will surely be looking for a right-back, another forward and possibly another big midfield presence to take the club forward and give them greater strength in depth. Then it could be regarded as a decent summer of business.