Any process that starts or increases the rate, frequency or extent of SCF-dependent proteasomal ubiquitin-dependent protein catabolic process, the chemical reactions and pathways resulting in the breakdown of a protein or peptide by hydrolysis of its peptide bonds, initiated by the covalent attachment of ubiquitin, with ubiquitin-protein ligation catalyzed by an SCF (Skp1/Cul1/F-box protein) complex, and mediated by the proteasome.
positive regulation of SCF-dependent proteasomal ubiquitin-dependent catabolic process