Postpublished at 86 mins
Kilmarnock 0-1 Celtic
Now Celtic have a free-kick and Leigh Griffiths' shot does not get past the wall.
FT: Aberdeen 2-1 Dundee (May [2]; Deacon)
FT: Motherwell 2-0 Ross County (Tait, Moult)
FT: Hibs 1-3 Hamilton (Bingham [2], Longridge; Stokes)
FT: St Johnstone 1-0 Partick Thistle (O'Halloran)
FT: Rangers 0-0 Hearts
FT: Kilmarnock 0-2 Celtic (Forrest, McGregor)
Andy Campbell and Bryn Palmer
Kilmarnock 0-1 Celtic
Now Celtic have a free-kick and Leigh Griffiths' shot does not get past the wall.
Kilmarnock 0-1 Celtic
Kilmarnock win a free-kick and striker Kris Boyd decides to take it but his effort is well wide.
Kilmarnock 0-1 Celtic
Mikael Lustig replaces Kundai Benyu for Celtic.
Kilmarnock 0-1 Celtic
Kilmarnock threaten at a corner with Eamonn Brophy turning a shot wide.
Kilmarnock 0-1 Celtic
Chris Burke has replaced Dom Thomas for Kilmarnock.
Kilmarnock 0-1 Celtic
Kilmarnock 0-1 Celtic
Double change for Celtic.
Leigh Griffiths replaces first-half goalscorer James Forrest and Nir Bitton takes over from Kieran Tierney.
Kilmarnock 0-1 Celtic
Calvin Miller this time gets his shot on target but Kilmarnock goalkeeper Jamie MacDonald stretches out to make the save.
Kilmarnock 0-1 Celtic
Calvin Miller has been getting forward a lot in this second half and he cuts in from the left to lift a shot over the Kilmarnock crossbar.
Kilmarnock 0-1 Celtic
Eamonn Brophy replaces Steven Smith for Kilmarnock. It's Brophy's debut for Killie, having joined yesterday from Hamilton Academical.
Kilmarnock 0-1 Celtic
Kilmarnock's Stephen O'Donnell is booked for a foul on Calvin Miller.
Kilmarnock 0-1 Celtic
Chris McLaughlin
BBC Sport Scotland at Rugby Park
"The second half looking very similar to the first, although Celtic's passing is a little quicker and crisper. They know a second will settle this but they also know the home side have shown enough going forward to suggest they could equalise."
Kilmarnock 0-1 Celtic
Calvin Miller's cross appears to strike the hand of Kilmarnock's Stephen O'Donnell in the hosts' box but the Celtic left-back had been flagged offside.
Kilmarnock 0-1 Celtic
Tom Rogic shoots high and wide of the Kilmarnock goal.
Kilmarnock 0-1 Celtic
Celtic still in control.
Their use of the ball is tiring Kilmarnock out and the visitors will wait for the right moment to try and get their second.
Kilmarnock 0-1 Celtic
Celtic get the game restarted.
Kilmarnock 0-1 Celtic
Chris McLaughlin
BBC Sport Scotland at Rugby Park
Celtic's patience and pressure are the reasons they lead at the break. Kilmarnock have worked so hard to keep the champions at bay but Brendan Rodgers' men never panic and always look confident the goal will come.
Kilmarnock 0-1 Celtic
Celtic have the lead at the break and they have been dominant for large spells.
Kilmarnock are not out of this if they can reproduce some of their first-half attacking play but it will take a big turnaround from Lee McCulloch's men.
Kilmarnock 0-1 Celtic
Quote MessageThat is a bitter pill to swallow for Kilmarnock. Now they have to think about how they can try to hurt Celtic. The next goal in the game is huge, but Lee McCulloch will be quite happy to get to half-time at just 1-0. Celtic are really turning the screw now.
Michael Stewart, Former Hibs & Hearts midfielder on Radio Scotland