According to an ET report, in a bid to halt rumours, Bradley has addressed the gossip surrounding his dating life.
"Bradley and Irina are feeling a sense of freedom and both are relieved to find time to focus on their careers and spend quality time with their daughter," a source told ET.
"They are 100 percent on the same page about making sure their daughter is happy and well cared for."
From the report, it's clear the couple are making their daughter their number one priority during this process, with dating taking a back seat.
"They are working to co-parent and both realise the importance of having both parents in their daughter's life," the source told the publication.
"Both have time-consuming jobs and sharing custody of their daughter will be the best situation for all of them. Dating right now isn’t a priority for either of them, their focus is their daughter and their careers."
The rumour mill went into overdrive surrounding Bradley's relationship with co-star Lady Gaga, and the pair were constantly questioned over their overly amorous performance in A Star Is Born.
However the pair are just friends, according to the ET source.
"The breakup has been consuming and jumping back into a relationship at this point is not Bradley's first priority, but he and Gaga have a deep friendship," the source said.
"Bradley and Gaga hope to work together again and their friends believe, for the time being, they are co-stars and great friends."