The France international is desperate to follow former Southampton manager Mauricio Pochettino to White Hart Lane in the summer transfer window.
The Saints have told the 24-year-old midfielder that he will not be sold to the north London club, prompting the former Strasbourg man to take to Twitter.
6 years of an amazing journey #saintsfc DESTROYED in 1 hour !!!
— Morgan Schneiderlin (@SchneiderlinMo4) July 29, 2014
And former Southampton chairman Lowe feels the south coast club will ultimately find it difficult to hold onto the highly-rated midfielder.
“He’s a fantastic player, he’s a fantastic person and when we signed him from Strasbourg I was amazed we were able to do that,” Lowe told talkSPORT.
“I was expecting to be competing with clubs like Arsenal because I personally think he is the probably best midfielder in English football at the moment.
“I have huge admiration for him. I hope he stays at Southampton but, at the end of the day, if a bigger club comes in for him most players see that as a promotion, a bigger salary, and it is very difficult to keep them.”
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