David Jamieson, the region's police and crime commissioner, said on Friday no fixed penalties have been issued as of yet.
Residents in Sandwell, Birmingham and Solihull are now banned from mixing with other households amid a rise in coronavirus cases.
Wolverhampton is set for the restrictions on Tuesday.
Mr Jamieson said: "As far as I know, there have been no fixed penalty notices - which are accompanied by a fine - which have been handed out yet.
"We did give a warning to two separate people who were intending organising a big event.
"They were warned that they would face a fine of £10,000 if they carried on the event and both of them decided it wasn't a very good idea."