McKenzie began his career at Crystal Palace

The player agreed terms on a three-and-half year deal on Thursday and will complete the move on Friday subject to passing a medical.

"Several Division One clubs and others have been pursuing Leon over recent months," McKenzie's agent Tim Webb said.

"The opportunity to join such a massive club as Norwich was not to be missed.

"Leon was very impressed with Nigel Worthington, the club's ambitions and facilities and looks forward to scoring goals in the bid for Premiership promotion."

I think it is a great deal for Peterborough United as he could have walked away for nothing at the end of the season Posh boss Barry Fry

Peterborough's website reported the deal was worth �625,000, with a 15% sell-on clause included in the deal.

Manager Barry Fry said: "The deal happened very fast. I accepted a bid from Norwich on Thursday morning after talking it over with my directors and Leon.

"Leon rang me to say that he had accepted terms and he is delighted with the move.

"I think it is a great deal for Peterborough United as he could have walked away for nothing at the end of the season."

The 25-year-old has scored 12 goals this season and has been linked with a move to Reading and Wigan after turning down a new deal at London Road.

McKenzie will not play against Cardiff on Saturday so could make his debut in next Sunday's local derby against Ipswich at Portman Road.