He suffered the damage in a 13th-minute tackle by Czech midfielder Tomas Soucek.
After needing treatment and trying to continue, Dier was pulled off following 26 minutes and substituted by Ross Barkley.
Chelsea midfielder Barkley, 25, could be given a start in Montenegro by director Gareth Southgate, who additionally offers the option of giving the complete England introduction to West Ham’s Declan Rice.
Rice, 20, came on as a second-half substitute in the 5-0 win over the Czechs, later switching allegiance from the Republic of Ireland a month.
“If Eric is the only real accident I don’t think we’ll call someone else in. When we have some other concerns we are going to need to examine that on Saturday,” Southgate said.