Thermoplastic oil-modified alkyd resins are described herein. Such resins can be used as the predominant component of a hot melt adhesive which can be employed for instance as a construction adhesive in the manufacture of disposable absorbent articles. The composition also includes a copolymer formed from at least two monomer types of which at least one monomer type is a polar monomer and at least one monomer type is an apolar monomer, and a solid plasticizer.