Consecutive defeats, 45-0 against Saracens and 33-0 to Munster, leave them bottom of Pool 1 and with a mountain to climb to remain in the tournament.
Bradley however is refusing to write off his side's chances but stresses that finding some domestic form remains the priority this weekend.
"We're not so much concerned with winning the Heineken or the Amlin it's about winning the next match at this stage," Bradley told The Score.
"At this stage you won't get me saying 'no' because we could win the last four games with bonus points and scrape in at eighth in the Heineken.
"Losing your first two games and getting no points is a recipe for being out of the competition and we have to acknowledge that."
Bradley was unable to call on flying wing Tim Visser and half-back Greig Laidlaw for the defeat against Munster but the head coach refused to accept their absence had had influenced the result.
"Munster compete much more in the breakdown that Saracens," he added. "Sarries only put two in where Munster would put in three or four if they get a sniff. They dominated us there.
"I don't think Greig Laidlaw or Tim Visser would have made a difference (up front). Tim may not have got a pass in this match."