The former Desperate Housewives actress has been using disguises during her dates with the New York Jets quarterback, wearing a blonde wig at dinner with friends in New York, reports In Touch.
"It looks like they're testing the waters," a source claimed.
Since her divorce from basketball player Tony Parker, Longoria dated Spanish singer Eduardo Cruz, whom she split with last month.
Longoria once described herself as "a hopeless romantic" and said that she loves men with "a good sense of humour".
Sanchez was previously linked to Kim Kardashian and Sports Illustrated model Kate Upton.
Watch the trailer for Without Men - starring Eva Longoria - below: