Shead, who started 10 games at left guard, missed the season's last two games with a back problem.
Thompson suffered a leg injury during the win over Kansas State and missed the Bedlam game.
Both are redshirt juniors.
Once again, Derek Farniok is expected to start at left tackle while Nila Kasitati will start at right guard with Bronson Irwin moving over to the left side.
On the defensive side, Stoops said that freshman linebacker Jordan Evans was back in practice. Evans missed the last three games after suffering an injury against Baylor.
Stoops said the status of Torrea Peterson had not been determined. Peterson missed the last two games after making his first career start against Iowa State.
BY RYAN ABER AND JASON KERSEY