Another option is a low-Z probe, which can be made with a piece of 50Ω co-axial cable and some resistors. It will have an impedance of 500Ω over a wide range of frequencies. At low frequencies, the ×10 probe will have a higher impedance, but at high frequencies, above 20MHz or so, its impedance drops below that of the low-Z probe, which remains constant.
The above is just for future reference. Your oscillator should be capable of driving a low-Z or ×10 probe, with no problems. As previously noted, it's the oscilloscope's limited bandwidth which is causing the square wave to appear sinusoidal, rather than the probe.