The four men targeted their home on Bushbury Lane, Bushbury, at around 11am on Tuesday – and pretended to be able to carry out odd jobs.
They were shown to the garden before two of them managed to get into the house to burgle it, with the culprits escaping with an unknown sum of cash.
The criminals fled in a silver or grey saloon-type car – with officers now launching a plea for CCTV or any information people have.
Enquiries continue and anyone with information is asked to contact the force via Live Chat at www.west-midlands.police.uk 8am to midnight or call 101 anytime.
Crimestoppers can be called anonymously on 0800 555 111. Quote crime reference 20WV/196692Z/20.