Argentina's inclusion in the southern hemisphere Rugby Championship, which finishes in October, and the Pumas' three November internationals means Agulla will not be available to Bath full-time until December.
But Bath coach Gary Gold is confident the experience of playing regularly against the world's top three nations will only make Agulla a better player, and therefore benefit the club.
"We're really excited to have Horacio join Bath Rugby for the new season," Gold said.
"He's a very good player who is able to play two positions at a high level which brings great diversity and strength in depth to the team.
"We believe his exposure playing for Argentina in the new Rugby Championship format against the All Blacks, South Africa and Australia will further develop him as a player and Bath Rugby can only benefit from that."
Agulla's move from Leicester, for whom he made 48 appearances, will be finalised upon confirmation he has been granted a work permit.
The 27-year-old was voted Leicester fans' player of last season, when the Tigers finished as Premiership runners-up to Harlequins.
"I'm really excited to be joining Bath Rugby and hopefully helping them to challenge for silverware next season.
Bath play a good brand of rugby that I believe will suit my game and I'm excited to work with the new coaching team," Agulla said.
"They have some excellent players in their squad and my first challenge is to get into the side and make that starting shirt my own."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.