Ubiquitin fusion degradation (UFD) substrates are delivered at the proteasome by a handover mechanism involving the ubiquitin-selective chaperone Cdc48 and the ubiquitin shuttle factor Rad23. Here, we show that introduction of a 20 amino acid peptide extension not only rendered degradation independent of Cdc48, in line with the model that this chaperone is involved in early unfolding events of tightly folded substrates, but at the same time relieved the need for efficient polyubiquitylation and the ubiquitin shuttle factor Rad23. Removal of the ubiquitylation sites in the N-terminal UFD signal made the degradation of this substrate strictly dependent on the peptide extension and also on Cdc48 and, importantly the presence of a functional ubiquitylation machinery. This suggests that the extension in the absence of N-terminal ubiquitylation sites is not properly positioned to engage the unfoldase machinery of the proteasome. Thus the need for efficient ubiquitylation and Cdc48 in facilitating proteasomal degradation are tightly linked but can be bypassed in the context of UFD substrates by the introduction of an unstructured extension. Our data suggest that polyubiquitin-binding complexes acting upstream of the proteasome, rather than the proteasome itself, can be primary determinants for the level of ubiquitylation required for protein degradation.