Mina was taken off in the first half of Everton’s 3-1 defeat to Newcastle United in the Premier League on Tuesday.
The 27-year-old Colombia international has been hampered by fitness issues this term and has made just 10 appearances in the top flight.
Everton manager Frank Lampard has bemoaned Mina’s latest setback, describing the former Palmeiras and Barcelona defender’s absence as a ‘big miss’.
"Yerry Mina has an unfortunate injury which will be probably between eight to 10 weeks," he told reporters ahead of his side's home Premier League game against Leeds on Saturday.
"It's a strong injury around his quad. It's disappointing for us all. In the week I've been here I've realised he's a big leader in the group and a top player obviously for us, so a big miss."
"I was aware on the night that our medical team, who in the short term here have been great and really on point, were wary of the type of injury straight away just from Yerry's description of what he felt, so we were aware straight away and obviously our worst fears were confirmed a day or so later in terms of being out for a while," Lampard added.
"Yerry's a big personality. I've seen him a few times since. He's a positive lad, man, who we'll miss, but at the same time we have to be positive around him and move on in the short term until he comes back."
