The Southampton duo have both been handed their first call-ups to the senior side after impressing for Saints.
Southgate says, as it stands, both Redmond and Ward-Prowse will head to Poland with the Under-21 squad for the European Championship this summer.
But he feels they also deserve the chance at senior level later this month.
“They are players we’ve worked with before and players who are in excellent form with their club,” he said, as reported by Southampton's official website.
“They both performed very well in a pressured environment of a cup final with Southampton. I think we are aiming for those guys to go in the Under-21s Euros this summer, but also we didn’t want to hold them back – they deserve the opportunity as they’ve been performing very well in or junior age groups for a long time now.
“They’re two that we wanted to introduce to the senior environment and see how they get on.”