Bamba is expected to return to the squad for the first time since going AWOL at the start of pre-season training.
The Ivory Coast international returned a week late from an extended summer break but could face the Slovenians.
Captain Chris Hogg and goalkeeper Graham Stack are expected to shake off knocks while strikers Anthony Stokes and Derek Riordan are set to start.
Hibernian (from): Stack, Hart, Hanlon, Hogg, Murray, McBride, De Graaf, Rankin, Miller, Wotherspoon, Riordan, Stokes, Nish, Smith, Stephens, Stevenson, Galbraith, Bamba.
