Is there a maximum observable redshift in an open universe?

An estimate of the maximum observable redshift is obtained using only t_{0} approximately equal to (14± 3)10^{9}years, H_{0} approximately equal to 65 ± 10Km\sec^{-1}Mpc^{-1}(t_{0}H_{0} approximately equal to 0.91 ± 0.08/0.18) assuming \Lambda approximately equal to 0. The resulting maximum redshift z_{+} approximately equal to 10 appears to give a reasonable upper limit to the highest actually observed redshifts. Some implications are discussed.