Ameen Thabet, 50, from Smethwick, is accused of murdering his wife Najeeba Al-Ariqy, 47, by choking her to death.
She was found unresponsive by paramedics at her house on Sutton Street, Aston, on March 23 last year.
Prosecutors allege the defendant staged a fake burglary after his wife's death.
At Birmingham Crown Court on Tuesday, the jury was shown CCTV footage of Thabet visiting an address in Smethwick before his wife's death.
He was seen washing his shoes with a hosepipe and wiping them on the grass outside the address.
Coverage of the case:
DC Spencer Jenkins, of West Midlands Police, talked jurors through the footage.
He said: "Once he washed both of his shoes on the gravel area, there was a bit of shoe rubbing on the grass."
In footage shown to jurors on Monday, Thabet was seen on CCTV footage visiting the property multiple times.
DC Jenkins said Thabet appeared to be "indecisive" in his movements while at the property. He could be seen leaving the property with a blue bag.
Prosecutors allege Mrs Al-Ariqy was choked to death by husband Thabet whom she married in 2019.
It is claimed the defendant had staged a fake burglary after the offence alleged to have taken place before 12.37am.
Thabet, of West Park Road, Smethwick, denies murder.
The trial continues.