While Rivers was able to run out the four-quarter contest, scans have revealed that the backman's low-grade strain is likely to sideline him for 3-4 weeks.
The member of the 22under22 team in 2021 isn't the only Dees defender under duress ahead of their season opener, with Christian Salem (knee), Steven May and Michael Hibberd (tightness) some way off full fitness.
Given the opening bounce of the Wednesday night contest before what is expected to be a packed house at the Melbourne Cricket Ground is now under three weeks away, Rivers could well be sitting alongside fellow youngster Harrison Petty in the grandstands.
Following internal bleeding in a corked calf, Petty went under the knife in mid-February to relieve the muscle.
The 22-year-old is expected to miss another 3-4 weeks of action, however, it is not yet known whether the recently re-signed defender will return via the VFL.
After recovering from an ACL injury sustained in Round 7 of last season, Adam Tomlinson is now a certainty to take the field in the first game of Melbourne's first premiership defence since 1965.
The Demons and Dogs will do battle at the MCG on Wednesday, March 18 following their respective pre-season meetings with the Blues and Lions this week.