And the 2 Fast 2 Furious beauty, 39, has been hanging out with her single mom pal January Jones, 36, to make her case!
"Eva is spending a lot of time with January and her two-year-old son, Xander," a source dished.
"She's going overboard with her supportive relationship with January, who has her hands full as a young mother at the moment.
"Eva seems obsessed with proving to Ryan that she's ready to start a family."
The source said while Mendes "repeatedly passed on the idea of having children" with her previous boyfriend, Peruvian filmmaker George Augusto, she now has baby fever!
And she wants Gosling to be the father, even though they've had their ups and downs, the source added.
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