Barcelona's Suarez was suspended for nine games after biting Italy's Giorgio Chiellini at the World Cup in Brazil.
He was among 28 players named in Oscar Tabarez's squad to face Brazil away in Recife on March 25 and Peru in Montevideo four days later, the Uruguayan FA announced on Friday.
Uncapped Genoa midfielder Diego Laxalt and Manchester United right back Guillermo Varela were called up for the first time.
Uruguay are second in the 10-team South American standings behind Ecuador with three wins in four games.
The top four qualify automatically for the 2018 finals in Russia while the fifth-placed team goes into an intercontinental playoff against a team from the Oceania zone.
(Writing by Andrew Downie; Editing by Ken Ferris)
