Howe said on Friday:
"I think that's a compliment to Nathan and how he's played since he signed for us permanently.
"He's been a model of consistency. He picked up all the player awards that he did at the end of last season and he's carried that form into this [season].
"With any type of speculation that you are linked with, the clubs he's been mentioned with, it's a good sign. However, that doesn't mean we're about to lose him. He's a massive part of what we're doing."
Per Sky Sports, Howe added "[there has been] nothing from our side, where it comes from I don't know," as he declared he expects further interest in his best players at the Vitality Stadium.
United have suffered at the back this season, with Mourinho unable to find a quality partnership in central defence from his existing squad.
The Special One failed to sign any of his centre-back targets last summer, and there's a clear need to recruit a dynamic defender in January.
The Old Trafford giants visit Chelsea in the Premier League on Saturday, and a negative scoreline and performance will pile the pressure on Mourinho's tenure.
Ake recently addressed the latest speculation about his career but admitted he will not pay much attention to it at present.
Speaking to Dutch outlet FootballOranje.com (h/t Metro), Ake said: "I've seen it pass by but of course it's rumours. At the moment I play at Bournemouth and that is going well, so I focus on that."
Ake is one of English football's brightest defensive talents, and his time with the Cherries has seen him develop into a well-rounded defender.
The 23-year-old has the technical ability to play in several defensive positions, and he also carries a goal threat from set pieces.
The Dutchman would be a good addition for United in January, but Mourinho would have to sell a centre-back to compensate, with several players ready for the chop if the club step up their recruitment drive.
The futures of Chris Smalling, Phil Jones, Eric Bailly, Marcos Rojo and Victor Lindelof could all lie elsewhere, as United revamp the skeleton of their limp back line.