Motherwell hope to have a new manager in place for their home game against Celtic on Saturday October 17, which is live on BT Sport.
Ian Baraclough departed Fir Park in the wake of last week's 3-2 defeat to Morton in the League Cup and there has been no shortage of interest in the post.
A club spokesman said: "The board met on Monday evening for an initial review of the list of applicants for the role of first-team manager. We have received in excess of 75 applications and are delighted with the high quality of candidates.
"We are keen to undertake a detailed interview process to ensure we appoint a manager who shares the vision for the club and has the skills necessary to achieve the various goals required.
"Due to the number of applicants, it will take some time to complete the selection process and no interviews will take place this week.
"The board have therefore asked Stephen Craigan to continue in his position for the Dundee game this Saturday, which he has agreed to do.
"The club hope to make an appointment prior to the next game after the international break."