Bradbury, who hopes to include Sheringham for Bournemouth's clash against Bury on Saturday, added: "This is a good singing for us, he is a good player with good movement and he's scored a lot of goals.
"He knows the professional game well and this isn't a gamble. It's just an opportunity for him to get back into it."
Meanwhile, the Cherries have announced 17-year-old midfielder Josh Carmichael has signed his first professional contract with the club.
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