Your request is to specify a server-side interface based on its IP, right? (and not your client side interface? in this later case, the waving option --interface <name> is fine)
Then you can use the IP address in the url.
Say 216.58.211.110 is google.com from my house, and then:
$ curl http://216.58.211.110/index.html <HTML><HEAD><meta http-equiv="content-type" content="text/html;charset=utf-8"> <TITLE>301 Moved</TITLE></HEAD><BODY> <H1>301 Moved</H1> The document has moved <A HREF="http://www.google.com/index.html">here</A>. </BODY></HTML>
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