Everybody agrees that J.A. Happ is a major-league starting pitcher.

But the Blue Jays starting rotation is full and there may not even be room in the bullpen for the towering left-hander.

“That’s the catch right there,” says Jays manager John Gibbons.

Happ is one of the casualties of the Jays’ off-season upgrade, pushed out of the rotation by the acquisitions of R.A. Dickey, Josh Johnson and Mark Buehrle.

He has been designated the team’s sixth starter, a quality depth man who could be used in case of injury. And there almost certainly will be injuries.

Only seven times in Major League Baseball history has each member of a five-man rotation made at least 30 starts. Teams typically need between seven and 12 different starters in a season.

The Jays needed a dozen in last year’s injury-riddled campaign, which saw them hand the ball to a revolving cast of career minor leaguers, most ill-suited to the task.

Jays GM Alex Anthopoulos said on multiple occasions this off-season that one of the most important lessons he learned last year was the value of major-league depth.