The compatibility of unsynchronized interleaved uniform sampling with Sigma-Delta analog-to-digital conversion is investigated. Let f be a bandlimited signal that is sampled on a collection of N interleaved grids { kT + Tn} k ∈ Z with offsets \hbox{$\{T_n\}_{n=1}^N\subset [0,T]$}. If the offsets Tn are chosen independently and uniformly at random from [0 ,T] and if the sample values of f are quantized with a first order Sigma-Delta algorithm, then with high probability the quantization error \hbox{$|f(t) - \widetilde{f}(t)|$}is at most of order N-1log N.