Does the verse in Song of Solomon 5:16 contain the name of the Islamic prophet Muhammad?

I have met Muslims and interacted with them directly and indirectly about their brief that the Islamic prophet Muhammad is mentioned in the Bible. One such claim is centred on the Song of Solomon 5:16. The following is how Muslims usually reason in support of their view: In Song of Solomon 5:16 the original text reads: חכו ממתקים וכלו מחמדים זה דודי וזה רעי בנות ירושלם. The original Hebrew word in the verse mentioning the name Muhammad is “מחמד”. [These letters in English are MHMD and in Arabic are محمد (Muhammad)]. But, does the above understanding base on exegesis or eisegesis?