There's no much evidence of that. The solar connection is best described as adding to the warming in the 80's and 90's. Solar peaked around the mid 80's but there's always a lag due to thermal inertia in the oceans. Essentially the extra solar energy imparted into the oceans came out with a vengeance in the 1998 El Nino. But along with that solar influence is steady warming from increased CO2. Solar might be greater in the short run but CO2 persists and wins in the long run.
Now that the sun has tanked (around 2007/8) there is yet another lag as the still-warm ocean will output heat for a while. But after the anemic upcoming solar max we will have a long solar minimum and, along with more storminess, we will see eventual cooling. Thanks to the lag, that will take another decade or two. The downturn will be tempered somewhat by continuing rises in CO2.