The Collaborative International Dictionary of English v.0.48:

Warm-hearted \Warm"-heart`ed\, a.
   Having strong affection; cordial; sincere; hearty;
   sympathetic. -- Warm"-heart`ed*ness, n.
   [1913 Webster]

WordNet (r) 3.0 (2006):

warmhearted
    adj 1: marked by warmth of feeling like kindness and sympathy
           and generosity; "gave a warmhearted welcome to the
           stranger" [ant: coldhearted]