Bradley wore the armband for last night's draw with Belarus in the Nations League.
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After the 0-0 result, Bradley said: "I'm just extremely proud.
"It was pretty surreal walking out with the boys behind me and having the armband on during the game was pretty special.
"I think it will be a bit nicer if fans are there, but we'll leave that down to Michael to see who he thinks should be the captain on Tuesday."