Council members will discuss the issue with City Attorney Raul Casso at a closed session of City Council on Monday night.
House Republicans have taken the initial step in suing President Barack Obama over the administration's decision to delay the employer mandate of the health care law.
House Speaker John Boehner released a draft of the resolution that would authorize the House to file suit amid GOP criticism that the president has declined to faithfully execute the laws of the country.
The so-called employer mandate was written into the law as a guardrail to discourage employers from shifting workers into taxpayer-subsidized coverage. The administration gave businesses an extra year to comply with the health care law's requirement to offer coverage.
The House Rules Committee has scheduled a hearing on the resolution next week, with a House vote later this month.
Obama has called the GOP effort a "stunt."
Boehner's actions on the lawsuit come as some Republicans are demanding a far more formidable step: impeachment.