The midfielder, who grew up through the club's academy and is their current longest serving player, is out of contract in the summer and his employers have decided to accept an offer for his services instead of losing him on a free transfer at the end of the season.
A club statement on Leeds' official website read: "Leeds United can confirm the club has received an acceptable offer for Jonny Howson from Norwich City.
"The club has reluctantly accepted the offer on the basis that the player only has six months of his current contract remaining and has expressed a desire that he would like to play Premier League football at the earliest opportunity.
"The club has been in discussions with the player about a new contract at Elland Road for more than 12 months, but he has been steadfast in his position that he would like the opportunity to play Premier League football and on that basis Jonny hasn't felt in a position to commit himself to Leeds United at this moment in time.
"The player would be able to leave on a free transfer at the end of his current contract.
"While accepting the offer on Tuesday the player has still to agree terms with Norwich and we are disappointed the matter has become public at this stage."
The confirmation that the bid for Howson has been accepted comes on the same day Aston Villa manager Alex McLeish confirmed Leeds had made contact with the club in an attempt to loan back former player Fabian Delph.
Howson, 23, has been a popular player at Elland Road where he has scored a number of important goals and made over 200 appearances since making his debut in September 2006 against Barnet in the League Cup.
His first goal came against Norwich in 2007 when Leeds were relegated to League One and since then he has netted in the play-off semi-finals against Carlisle in 2008 and on the final day of the 2009-10 season to equalise against Bristol Rovers as the Yorkshire club searched for the win which saw them promoted back to the Championship.
An ever-present in Leeds' campaign last season, it now appears that Howson is set to move to Premier League club Norwich, who are currently ninth in the table.
If he does move to Carrow Road he would join another former Leeds player in Bradley Johnson as well as a host of other professionals who have come from lower league clubs during the the Canaries' rapid rise from League One after back-to-back promotions.
How do you stay up to date with football when on the move? With http://m.goal.com – your best source for mobile coverage of the beautiful game.