In Photoshop, use the Path Component Selection
tool or the Direct Selection tool to select the paths you want to
move.
You can select any path or path segment that appears in
the Paths panel, including shape vector masks, work paths, and saved
paths. For more information on selecting paths, see Photoshop Help.
Either copy and paste or drag the path to Illustrator.
In the Paste Options dialog box, choose whether to paste
the path as a compound shape or a compound path. Pasting as a compound
path is faster, but may result in some loss of editability.
To import all paths (but no pixels) from
a Photoshop document, choose File > Export >
Paths To Illustrator (in Photoshop). Then open the resulting file
in Illustrator.