The visitors dominated possession early on, but failed to take full advantage as a string of half-chances went begging.
The best of those openings fell to Tom Rogic as home goalkeeper Anders Hansen made an excellent low save to prevent the Australian from opening the scoring.
Brendan Rodgers' men did find the all-important goal just a matter of minutes before the break, the in-form James Forrest twisting away form his man down the right and crossing to the far post where Sinclair was waiting to power home a header.
The hosts saw a couple of dangerous crosses fail to find the mark as they managed only to threaten in fits and starts, whilst Odsonne Edouard and Leigh Griffiths both could have given Celtic room late on.
Nevertheless, Sinclair's goal proved sufficient, with Salzburg's victory over RB Leipzig in Group B's other game means that Celtic now need just a point against the Austrian side in their final group game to extend their European adventure into 2019.
November 29, 2018