The Collaborative International Dictionary of English v.0.48:

Brim \Brim\, v. i. [imp. & p. p. Brimmed; p. pr. & vb. n.
   Brimming.]
   To be full to the brim. "The brimming stream." --Milton.
   [1913 Webster]

   To brim over (literally or figuratively), to be so full
      that some of the contents flows over the brim; as, a cup
      brimming over with wine; a man brimming over with fun.
      [1913 Webster]