Victory at Manchester City on Sunday sees the Reds now 11 points clear at the top of the table from second-place Arsenal.
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The Athletic says winning the title will see Liverpool earn a £2m bonus as part of their kit deal with Nike.
Nike and Liverpool are now in the final year of their contract.
Liverpool will also be due £2m if they reach the Champions League final or £4m if they win it.
Liverpool have agreed terms with Adidas to replace Nike from next season worth £60m-a-year.