Kurtis March (19), James Loveridge (18) and Henry Jones (19) - all local products - signed for the club last summer after coming through the youth ranks.
Goalkeeper Oliver Davies, Liam Shephard, Sam Evans and Alex Bray have also been offered their first one-year professional contracts at the Liberty Stadium after impressing in the youth set-up this season.
The offers come on the back of a two-year deal signed by 18-year-old Josh Sheehan in November and mean five out of seven of the club's second-year apprentices will get the chance to impress at senior level next season.
"For five of our current scholars to be offered pro contracts is a major boost for the academy set-up,'' academy manager Tony Pennock told Swansea's official website.
"It's always nice when you see the youngsters you've been working so hard with progress to professional status.
"But they know the hard work is only just beginning because they have to start fighting for another pro contract now.''