The Collaborative International Dictionary of English v.0.48:

Transude \Tran*sude"\, v. i. [imp. & p. p. Transuded; p. pr. &
   vb. n. Transuding.] [Pref. trans- + L. sudare to sweat: cf.
   F. transsuder.]
   To pass, as perspirable matter does, through the pores or
   interstices of textures; as, liquor may transude through
   leather or wood.
   [1913 Webster]