  We consider an intermediate Dirac-Born-Infeld (DBI) inflationary model in the
presence of a minimal measurable length in the theory. We show that, the
presence of a minimal measurable length modifies the definitions of the scalar
and tensor spectral indices and also other inflation observables. This is due
to modification of the momentum and corresponding wave number of the
perturbations in the presence of a minimal length. By using the deformed
definition of the scalar and tensor spectral indices, we perform numerical
analysis on the intermediate DBI inflation model to find some constraints on
the deformation parameter. In this regard, we compare our numerical results
with both Planck2018 TT, TE, EE +lowE +lensing +BAO+ BK14 and Planck2018 TT,
TE,EE +lowE+lensing+BK14 +BAO+LIGO $\&$ Virgo2016 data at the $68\%$ CL and
$95\%$ CL. Our numerical study shows that the intermediate DBI inflation model
in the presence of a minimal measurable length is observationally viable if the
upper bound on the deformation parameter to be considered of the order of
$10^{48}$ at $68\%$ CL and $10^{49}$ at $95\%$ CL. This is consistent with the
results of other approaches to constrain such a quantity.
