Summer signing Stephen Welsh, who was on the bench against the Blues, could replace Burgess at Stoke.
Matos also has the option of switching Filip Lissah to centre-back.
The 21-year-old made his first competitive start for Swansea against Birmingham at right-back before making way for Josh Key in the second half.
“Welshy is more than ready to come in [and] we can still play Lissah [at centre-back], so there are plenty of options,” Matos said.
Swansea were in the market for another centre-back even before Burgess’ injury.
Matos acknowledged that should Burgess’ problem prove to be serious, the Swans may have to adjust their transfer plans.
“From when that is confirmed, of course we need to reassess the situation and think what we can do in the market,” he added.
“Let’s see. The market’s open. Everything can happen. We never know. We are ready to receive the players that will help us to be a better team.”
