He says Labour TDs should come up with an agreed candidate.
Nominations for Joan Burton's successor are open until Friday.
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So far, only Tipperary TD Alan Kelly has declared his intention to run, as his colleagues Brendan Howlin and Jan O'Sullivan consider their positions.
However, it should be clear by midweek if there will be a contest for the leadership.
Joe Costello thinks a competition would be bad for the party.