The two sides were forced to settle for a 0-0 draw at Turf Moor which leaves Boro in the playoff spots, despite winning one of their last eight Championship outings.
Mowbray was pleased with the way his side fought for a point in the midst of their current injury crisis.
"From our perspective we've conceded too many goals on the road recently," Mowbray told Sky Sports News. "We've got a lot of injuries. I think it was 12 first-team players injured tonight and I don't make any apologies for coming and making sure that we were defensively solid.
"A really hard-working team was picked and a lot of attacking threat was left on the bench to try and make sure we stayed in the game.
"I was pleased that we kept a clean sheet, that we worked extremely hard for each other - it's been a difficult month-and-a-half."
Boro host Millwall on Saturday.