The 23-year-old has been one of the club’s most impressive performers this term after Lambert shocked Villa fans by splashing out £2million to sign him from Sheffield United last summer.
Lowton caught the eye with a stunning long-range volley in a 3-1 victory over Stoke City at the Britannia Stadium in April and was hailed as Lambert’s man of the match in the recent win over Sunderland.
With Bacary Sagna struggling with form and injuries this season, Arsenal have been linked to the ex-Blades defender while Fulham were also reported to have shown an interest.
But Lambert, whose side are five points clear of 18th-placed Wigan Athletic, is adamant Villa will not be looking to sell the former Blades man at the end of the season.
“You can’t stop people speculating. That’s football all over the world. But he’s our player,” said Lambert.
“He’s been playing very well. If people are talking about him, that means he’s playing well.
“It becomes frustrating if you do have to lose ones when you’re trying to build. At the end of the day, the decision is my own if I let people go. That would always be the case.
Meanwhile, Lambert has confirmed that Lowton is struggling with an injury at the moment.
“He hurt his thigh on Monday and he felt it on Saturday – it was a little risk, but I don’t think it’s too bad,” he added.