Gavin Stewart, 34, of Broughty Ferry Road, had sentence deferred until October 24.
Stewart admitted threatening or abusive behaviour by shouting, swearing and making threats of violence towards Kimberley Whyte at his home address on May 17.
He also admitted informing PC Grant Ferguson and PC Ramsay Scott that he was hepatitis C positive and threatening to spit on them, at the same location and on the same date.
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Yob claimed to have hepatitis C and spat at Dundee police officers
