The case against a man accused of the shooting murder of an experienced police officer at a rural property is complex, his lawyer has told a court.

Constable Keith Smith, 57, was killed at North Motton in Tasmania's northwest on June 16 while he and another officer were delivering a court-ordered repossession notice.

Leigh Geoffrey Sushames was charged three days later with murder, attempted murder and aggravated assault.

Sushames, who has made several court appearances, faced Devonport Magistrates Court via video link from custody on Wednesday but didn't enter a plea to the charges.

Sushames' lawyer Greg Richardson asked for more time to enter a plea, describing the case as "serious and complex".

Magistrate Evan Hughes adjourned the matter until late November.

Const Smith's name was

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