  We investigate the bandwidth compression due to out of plane pressure of the
moire flatbands near charge neutrality in twisted bilayer graphene for a
continuous range of small rotation angles of up to $\sim2.5^{\circ}$. The
flatband bandwidth minima angles are found to grow linearly with interlayer
coupling {\omega} and decrease with Fermi velocity. Application of moderate
pressure values of up to 2.5 GPa achievable through a hydraulic press should
allow accessing a flatband for angles as large as $\sim 1.5$^{\circ}$ instead
of $\sim 1 \circ$ at zero pressure. This reduction of the moir\'e pattern
length for larger twist angle implies an increase of the effective Coulomb
interaction scale per moire cell by about 50% and enhance roughly by a factor
of $\sim 2$ the elastic energy that resists the commensuration strains due to
the moire pattern. Our results suggest that application of pressure on twisted
bilayer graphene nanodevices through a hydraulic press will notably facilitate
the device preparation efforts required for exploring the ordered phases near
magic angle flatbands.
