The England goalkeeper kept a clean sheet in the side's narrow World Cup qualification victory against Wales.
Jermain Defoe played for the last 22 minutes while Michael Carrick and Jermaine Jenas were unused substitutes.
Dawson scored his first goal for the Under-21's in a 4-0 win against the Welsh - a result that confirmed Peter Taylor's side will compete in the European Championships.
Calum Davenport was an unused substitute.