QPR have had an offer for Danny McNamara rejected but are still pursuing the Millwall right-back.
McNamara, 23, has entered the final year of his contract and Rangers are looking to agree a deal to take him to Loftus Road.
South Londoner McNamara, a Republic of Ireland Under-21 international, is a product of Millwall’s academy and has impressed since breaking into the first team.
He has made 55 appearances for the Lions, with 38 of them coming last season.
The Hammersmith-born 21-year-old was on Fulham’s books and then had a spell at Manchester City before joining Brighton in 2019.
He spent last season on loan at Birmingham, having spent the previous campaign on loan at Doncaster.
Richards is under contract at Brighton until 2024.
QPR want to sign him on a permanent deal or on loan with a view to a permanent move.
New boss Mick Beale is keen to bring in a midfielder, right-back and at least one striker before the Championship season gets under way.
Rangers are not currently looking to sign Chelsea midfielder Tino Anjorin, who has been linked with a potential move to W12.