We examine the ability to test the black hole no-hair theorem at the 10 \% level in this decade using the binary black hole in OJ287 . In the test we constrain the value of the dimensionless parameter q that relates the scaled quadrupole moment and spin of the primary black hole : q _ { 2 } = - q { \chi ^ { 2 } } . At the present we can say that q = 1 \pm 0.3 ( one \sigma ) , in agreement with General Relativity and the no-hair theorems . We demonstrate that this result can be improved if more observational data is found in historical plate archives for the 1959 and 1971 outbursts . We also show that the predicted 2015 and 2019 outbursts will be crucial in improving the accuracy of the test . Space-based photometry is required in 2019 July due the proximity of OJ287 to the Sun at the time of the outburst . The best situation would be to carry out the photometry far from the Earth , from quite a different vantage point , in order to avoid the influence of the nearby Sun . We have considered in particular the STEREO space mission which would be ideal if it has a continuation in 2019 or LORRI on board the New Horizons mission to Pluto .