Gibbons, who has challenged England international Siobhan Chamberlain for the Reds' No.1 spot over the past 18 months, joined the club from Preston North End in 2011.
Ladies manager Scott Rogers said: “Danielle is a fantastic professional as well as a fantastic goalkeeper. She has really tested Siobhan since I have been in charge but we both feel as though it is time for Danielle to be playing week in, week out.
“Danielle has represented England at U23 and U19 level as well as being called up to train with the senior squad, which proves her undoubted quality.