The newly discovered Be/X-ray binary in the Small Magellanic Cloud , SXP 1062 , provides the first example of a robust association with a supernova remnant ( SNR ) . The short age estimated for the SNR qualifies SXP 1062 as the youngest known source in its class , \tau \approx 10 ^ { 4 } \textrm { yr } . As such , it allows to test current models of magneto-rotational evolution of neutron stars in a still unexplored regime . Here we discuss possible evolutionary scenarios for SXP 1062 in the attempt to reconcile its long spin period , P = 1062 \textrm { s } , and short age . Although several options can be considered , like an anomalously long initial period or the presence of a fossil disc , our results indicate that SXP 1062 may host a neutron star born with a large initial magnetic field , typically in excess of \sim 10 ^ { 14 } { G } , which then decayed to \sim 10 ^ { 13 } { G } .