The 56-year-old Argentine is considered one of the finest coaches in the game today, but he feels that he got his tactics wrong against the Blaugrana at the Vicente Calderon
The Basques conceded all three goals in the opening 25 minutes of the match at the Vicente Calderon, with Pedro making an early breakthrough for the Blaugrana before netting again after Lionel Messi had racked up his 73rd goal of the season.
Bielsa, who is out of contract this summer, has been widely praised for his work with Athletic this season but he felt that he had got his tactics wrong on the night.
"I accept that the approach we presented was not successful," the Argentine conceded. "I realise that. I'm the decision-maker.
"I represent and am responsible for a team that today did not carry through the plan I had established.
"Now we will evaluate the continuity of the coaching staff with a meeting between all parties concerned. I suppose in the course of next week the subject of my continuity must be decided in one way or another."
Many Athletic players had been reduced to tears by their 3-0 defeat in the final of the Europa League by Atletico Madrid and Bielsa admitted that they were hurting again after the loss to Barca.
"I saw a lot of pain on the players' faces after the game," the former Chile boss confessed. "We have a very young team.
"But we can now go one of two ways: we can use the experience because there is room for growth; or admit that there was an inability to cope with the high demands placed upon us this year."
The 56-year-old Bielsa only arrived at San Mames at the beginning of the 2011-12 campaign.