A dual-issue instruction is decoded to determine a plurality of LSU dependencies needed by an LSU part of the dual-issue instruction and a plurality of non-LSU dependencies needed by a non-LSU part of the dual-issue instruction. During dispatch of the dual-issue instruction by the microprocessor, the dual dependency matrices are employed as follows: a Load-Store Unit (LSU) dependency matrix is written with the plurality of LSU dependencies and a non-LSU dependency matrix is written with the plurality of non-LSU dependencies; an LSU issue valid (LSU IV) indicator is set as valid to issue; an LSU portion of the dual-issue instruction is issued once the plurality of LSU dependencies of the dual issue instruction are satisfied; a non-LSU issue valid (non-LSU IV) indicator is set as valid to issue; and a non-LSU portion of the dual-issue instruction is issued once the plurality of non-LSU dependencies of the dual issue instruction are satisfied. The LSU dependency matrix and the non-LSU dependency matrix can then be notified that one or more instructions dependent upon the dual-issue instruction may now issue.