The match is on Friday 13 February, with an 8.05pm kick-off and takes place during the Six Nations window.
Due to BT Murrayfield being in use that weekend for Scotland’s fixture against Wales, albeit on the Sunday, Edinburgh can’t play at the national stadium while preparations for the Six Nations match are ongoing.
After five wins in six matches, Edinburgh now have back-to-back European Challenge Cup fixtures.
They travel to face Lyon at the Matmut Stadium on Saturday in a match which kicks off at 7.45pm UK time. They then return home for a match against Bordeaux-Bègles on 23 January at 7.35pm.
That game is followed by a three-week break before the Ospreys match.
Edinburgh will be keen to maintain the momentum they have gained in recent weeks and avenge a defeat away earlier in the season to the Welsh side, who currently lead the Guinness Pro12 league table by a single point from Glasgow Warriors.
Dating back to the days before professionalism, when Edinburgh was a district representative side, they regularly played against star-studded touring teams at Myreside.
Among the more notable fixtures were a 19-10 loss to Australia in November 1975 and a 16-4 defeat by New Zealand in October 1979.
Edinburgh took on the All Blacks against October 1983, this time going down 22-6 but they managed a 26-14 victory against Japan at the venue in 1986.
After Edinburgh was reorganised by the SRU as a professional side in 1996, they have played only one other touring team at Myreside, losing 26-14 to Tonga in August 2007.
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