With 10 days remaining until the end of the Women's Super League transfer window, all eyes are on Chelsea, who have shown interest in Girma.
The English Premier League champions entered into a struggle with French giants Lyon for her signature this month.
The Athletic reported, external That Leon made a world record $1 million women's offer to the San Diego Wave.
Lyon's majority owner, Michel Kang, is also believed to be willing to pay unparalleled wages.
But Chelsea are also said to be prepared to do whatever it takes to sign Girma, who is a priority target for them in the January window.
With centre-back Kadisha Buchanan sidelined with an anterior cruciate ligament injury, Chelsea coach Sonia Bombastor wants a replacement.
Former Blues manager Emma Hayes – who is now coaching Girma in the States – can provide useful information on her old club, while American stars Mia Fishel and Catarina Macario recently moved to London.
Champions League football is an obvious attraction for Germa and both Chelsea and Lyon regularly compete for the trophy.
However, Chelsea believe they can offer competitive Premier League football and the chance to win multiple trophies, as well as offering big wages.