Steve Bruce recently criticised the Premier League newcomers for their “embarrassing” and “ridiculous” previous three bids – of £2million, £2.5million and £3million – but Norwich are thought to have returned with a fourth offer for the 23-year-old.
According to Sky Sports, Alex Neil’s men have made an ‘improved’ offer in an attempt to sign Brady, but the price remains unnamed.
The Tigers are thought to have valued Brady, who they signed from Manchester United for £2.75m in January 2013, at closer to £15m, creating a considerable impasse between the two clubs.
The Championship side are keen to hold contract talks with Brady, whose current deal expires next summer.
The club told BBC Radio Humberside: “We’ve been aware of Norwich City’s interest for some time, however, we are negotiating improved terms with Robbie Brady to keep him at the club.”
Speaking to the Hull Daily Mail on Thursday, Bruce said: “Norwich have come in with bids for Robbie Brady, but I have to say they have been embarrassing.
“It’s ridiculous for someone who is 23, has played two years in the Premier League and has become a regular international.
“We have just got almost twice that for Tom Ince (who joined Derby for £5m). It doesn’t make sense. We paid £2.75m for Robbie and that was three years ago.
“This can unsettle players, do this, that or the other, and it is all part of the game, but Robbie Brady will not be going for anywhere near that.
“If it happens, it happens, but Norwich are nowhere near the figures we would even think about accepting at the moment.”
Ricky van Wolfswinkel is set to play a part for Norwich City this season however, with the striker having returned to the club from loan at Sporting Lisbon after failing to agree terms with the Portuguese side on a permanent deal.