The Accra-based outfit received a big relegation survival boost as they edged the 2014-15 champions courtesy of Christopher Nettey's strike.
Still second from bottom, the 'Dade' Boys have a good chance of keeping their topflight status should they win their last game at Bechem United and results elsewhere go in their favour.
''We have no excuse, if we want to come out of the relegation," Attram says.
"We have our destiny in our own hands.
''We have to do everything possible to win that game.
"We thank God that we are better than Inter Allies and other clubs in terms of head to head so 39 points will take us out from relegation zone.''
Olympics are one of four newly-promoted sides in the topflight.
Bechem, meanwhile, will not go down without a fight as, only two points above Oly, a defeat could well send the Hunters to the second tier.