Redknapp is back in football as temporary manager of international side Jordan and as a football consultant at Derby County.
Of course Redknapp knew Bilic well having signed him for the east Londoners back in 1997.
The Hammers have been in superb form all season playing freeflowing attacking football the like of which hasn't been seen, ironically, since the days of Redknapp's tenure.
And their former boss has told talkSPORT he is delighted to see his prediction coming true with the fifth-placed Hammers just one point off the Champions League spots with eight games to go - and one game away from an FA Cup semi-final at Wembley.
Bilic's side will play Manchester United in a quarter-final replay next month for the right to face Everton in the semi-final.
'They've done incredible'
"They've done incredible you know," Redknapp told talkSPORT.
"They've got the Man United replay to come, that will be a great night, a great atmosphere there.
"I fancy West Ham to get through that game, I think that will be an intimidating atmosphere that night it will be tough for Man United.
"It's going to be strange to see the old ground going, but the new stadium looks fantastic, they've (West Ham owners David Gold and David Sullivan) done a great deal, taken the club forward into a new era so it's going to be interesting."
Historic Red Devils double
Louis van Gaal's men will have a big say on whether West Ham can leave Upton Park on a high as they face them in the last ever cup game and last ever league game there in May.
So far this season the two sides can't be separated.
Level on 50 points in the table, the Hammers have been desperately unlucky to draw 0-0 in the league and 1-1 in the FA Cup, both games they could and should have won.