  A mysterious incoherent metallic (IM) normal state with $T$-linear
resistivity is ubiquitous among strongly correlated superconductors. Recent
progress with microscopic models exhibiting IM transport has presented the
opportunity for us to study new models that exhibit direct transitions into a
superconducting state out of IM states within the framework of connected
Sachdev-Ye-Kitaev (SYK) "quantum dots". Here local SYK interactions within a
dot produce IM transport in the normal state, while local attractive
interactions drive superconductivity. Through explicit calculations, we find
two features of superconductivity arising from an IM normal state: First,
despite the absence of quasiparticles in the normal state, the superconducting
state still exhibits coherent superfluid transport. Second, the
non-quasiparticle nature of the IM Green's functions produces a large
enhancement in the ratio of the zero-temperature superconducting gap $\Delta$
and transition temperature $T_{sc}$, $2\Delta/T_{sc}$, with respect to its BCS
value of $3.53$.
