Dudley could follow neighbouring Wolverhampton and Sandwell in seeing local restrictions imposed which prevents people from attending other households to socialise.
These measures are also in place in Birmingham and Solihull.
Dudley Council leader Patrick Harley has urged residents to abide by safety guidelines - including wearing face masks, social distancing and washing hands regularly - to avoid these measures.
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Councillor Harley said: "While Dudley’s figures remain below those of our neighbouring authorities, it’s only through each and every one of us taking action to prevent further spread of this disease that we as a borough, can hope to stay outside of local lockdown measures.
"Household transmission has been identified as the main cause of the increase in cases in our region, so keeping to the rule of six is essential if we are to avoid being forced to introduce local restrictions across Dudley borough. These restrictions include being unable to mix with people from other households at home or in your garden, so I urge everyone to follow the rules.
"We all have a role to play in slowing the spread of covid, and the steps we can all take are so simple – wash your hands regularly, keep a safe distance from others, limit your contact with other people and wear a face covering.
"These are not difficult things to do but unless we all step up and take responsibility for ourselves and our communities, we will continue to see rates increase. We are in this together and we need to take action together."