Parish has the necessary board support to take over next season from sacked Tim Sheens.
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Dymock is highly-regarded but is reluctant to leave Canterbury, where he is an assistant coach under Des Hasler. Wests Tigers have a board meeting a fortnight from today, where a sub-committee is expected to recommend Parish for the top job.
The board is likely to accept the recommendation although some at the club want the coaching vacancy filled sooner. Parish, a former Balmain player whose father Don represented Western Suburbs and Australia, is understood to have had discussions with the club. Walters, assistant coach to Craig Bellamy at premiers Melbourne, was being pushed by some at the Tigers but he is unlikely to be successful.