  The recent discovery of burst oscillation at 1122Hz in the X-ray transient
XTE J1739-285 supports the suggestion that it contains a submillisecond pulsar.
In our estimations of the enormous dissipation effect in the transition
boundary layer between quark matter core and hadron matter envelope, combing
the viscosities of bulk mater in previous works, we show that XTE J1739-285 can
be uniquely restricted to a quark star masquerading as a neutron star (hybrid
star) that contains a pure quark matter or mixed quark-hadron matter core from
minimizing gravitational wave radiation (r-mode) instability and Keplerian
motion constraints at 1122Hz level through a three-parameters image. Such
constraints allow the stellar radii in the range $9{\rm km}\leq R\leq 12{\rm
km}$ and the stellar masses in the range $1.2M_\odot\leq M\leq 2.0M_\odot$. It
perhaps implies that submillisecond pulsars are just probes of quark matter.
