The 26-year-old defender has emerged as something of a cult figure during his time at Ibrox, having joined from lower league outfit Southend United last year.
Mohsni played an integral part in the Gers' promotion to the Scottish Championship, which earned him a call-up to the Tunisia squad.
And it was whilst making his international bow that the French-born defender - who can also play as a striker - caught the attention of a host of clubs, including Baniyas.
Moshni featured in Tunisia friendlies against Belgium and South Korea before the World Cup, and on the back of those displays, Rangers have been inundated with enquiries.
One of those was from Baniyas, who also made a firm bid - but it is understood Rangers rejected that, as they are hoping to persuade Mohsni to sign a new deal.
Sources close to the player have told Sky Sports that they are expecting Baniyas to make a further effort to tempt Mohsni to Abu Dhabi.