Dalglish was sacked by the Reds yesterday.
"The board will create a criteria of what that manager should look like and we'll match that with the best possible candidates and make a decision on that basis.
"That (the time frame) will be dictated by finding the right candidate of the right quality.
"What we want is the best, what we don't want is to choose quickly or choose because there's a time pressure. It'll be about finding the right person who can do the best job for Liverpool Football Club."