A white paper on gambling reform will be published before the end of the month, according to sources.
This could have consequences for clubs like West Ham, who have a significant front-of-shirt sponsorship deal with UK bookmaker Betway.
The Premier League is expected to self-regulate rather than face specific restrictions, but a ban on front-of-shirt advertising may be imminent in the near future.
Existing deals will be allowed to run their course for up to three years after the ban is introduced, and West Ham is already searching for a new sponsor outside of the gambling industry.
The proposed policy on gambling reform has been delayed for years due to political instability, but it is expected to be released before the House of Commons goes on recess on 30 March.
The white paper is not anticipated to contain specific measures for limiting gambling involvement in football, although it may prompt Premier League clubs to act before they are forced to.
Activists have suggested banning perimeter advertising in football, but this is not expected to be included in the new legislation.
The EFL, whose financial system is more dependent on the gambling industry than the Premier League, is not expected to be affected by the new regulations.