That result followed a narrow 29-28 home defeat to the Scarlets, after Bradley's side had lost back-to-back games in the Heineken Cup against Munster and Saracens.
Last season the Ospreys won both RaboDirect PRO12 encounters between the two sides, but Edinburgh ran them close losing 26-19 at the Liberty Stadium and 15-14 at home.
Ospreys have won their last five games in the RaboDirect PRO12 but went down 23-13 to Exeter Chiefs in the LV= Cup on Saturday - and now Bradley is hoping his side can halt inflict a similar result on the Welsh region at Murrayfield.
"We are really focused on getting a win as soon as possible," Bradley told The Scotsman.
"Ospreys have won five in a row, but we had two very close games last year, so we don't fear them especially at home.
"Hopefully our determination will get us over the line. We just keeping doing our work properly and in our last home match against Scarlets we were two points up with three minutes to go then gave away a penalty in the last couple of plays.
"Sometimes when you come off the treadmill it is difficult to get back on it again, but there is a good determination about the boys to start winning again."
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