Inverness assistant Brian Rice insists Dundee United's turmoil will not make it any easier on Friday evening.
Aberdeen shrugged off the disappointment of seeing Celtic win at Hearts to beat Motherwell as Kilmarnock claimed a vital victory at Hamilton.
Midfielder Liam Polworth has signed a new three-year contract with Inverness.
Inverness CT ensured there would be no nervy finish to the season for them with a 3-1 victory over Kilmarnock.
Kilmarnock manager Lee Clark criticised defender Conrad Balatoni after his error led to Killie's 3-1 defeat to Inverness.
Team news for the Scottish Premiership match between Kilmarnock and Inverness CT at Rugby Park on Sunday, live on Sky Sports.
Hearts and Inverness played out a dire goalless draw that was enough to book the Jambos' place in next season's Europa League.
Manager Robbie Neilson was delighted to see his Hearts side secure European football for next season.
Celtic host Ross County in their first post-split match on April 24, two days after title rivals Aberdeen take on St Johnstone.
Alex Schalk scored the only goal as Ross County beat Partick to make certain of a top-half finish.
Boss Mixu Paatelainen admits it will be 'a tall order' for Dundee United to avoid automatic relegation.
Hearts game at Inverness on Tuesday has been postponed after the Jambos' squad was hit by a sickness bug.
Dundee United's quest for Premiership survival is lifted by a win at St Johnstone while Kilmarnock are held at Partick.
Dundee have announced the signings of Inverness CT duo James Vincent and Danny Williams on pre-contract agreements.
Aberdeen lost ground on league leaders Celtic after Motherwell came from behind to win 2-1 at Fir Park.
Scottish Cup holders Inverness CT were dumped out of the competition as they lost 2-1 to Hibernian.
Ross County boss Jim McIntyre and chairman Roy MacGregor insist the club can gain more success after the League Cup win.
Shaleum Logan grabbed Aberdeen's winner in a 2-1 win over Kilmarnock to keep pressure on leaders Celtic.
Celtic and Rangers will face each other in the semi-finals of the Scottish Cup, live on Sky Sports.
Substitute Andrea Mbuyi-Mutumbo struck an equaliser against Hibs to keep Inverness CT's hopes of retaining Scottish Cup alive.